Santos, Felipe Albino dos; Neklyudov, Mikhail; Futorny, Vyacheslav Superelliptic Affine Lie algebras and orthogonal polynomials. arXiv:2402.02947 Preprint, arXiv:2402.02947 [math.RT] (2024). MSC: 17B65 22E65 BibTeX Cite \textit{F. A. dos Santos} et al., ``Superelliptic Affine Lie algebras and orthogonal polynomials'', Preprint, arXiv:2402.02947 [math.RT] (2024) Full Text: arXiv OA License
Anđelić, Milica; da Fonseca, Carlos M.; Futorny, Vyacheslav; Tsylke, Andrew Gelfand-Tsetlin modules for Lie algebras of rank \(2\). arXiv:2402.00483 Preprint, arXiv:2402.00483 [math.RT] (2024). MSC: 17B10 BibTeX Cite \textit{M. Anđelić} et al., ``Gelfand-Tsetlin modules for Lie algebras of rank $2$'', Preprint, arXiv:2402.00483 [math.RT] (2024) Full Text: arXiv OA License
Futorny, Vyacheslav; Křižka, Libor Twisting functors and Gelfand-Tsetlin modules over semisimple Lie algebras. (English) Zbl 1518.14028 Commun. Contemp. Math. 25, No. 8, Article ID 2250031, 37 p. (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 14F10 17B10 16U20 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{L. Křižka}, Commun. Contemp. Math. 25, No. 8, Article ID 2250031, 37 p. (2023; Zbl 1518.14028) Full Text: DOI arXiv
Futorny, Vyacheslav; Morales, Oscar; Křižka, Libor Admissible representations of simple affine vertex algebras. (English) Zbl 1519.17010 J. Algebra 628, 22-70 (2023). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B08 17B67 17B69 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 628, 22--70 (2023; Zbl 1519.17010) Full Text: DOI arXiv
Cardoso, Maria Clara; Futorny, Vyacheslav Affine Lie algebra representations induced from Whittaker modules. (English) Zbl 1510.17013 Proc. Am. Math. Soc. 151, No. 3, 1041-1053 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B65 17B67 PDFBibTeX XMLCite \textit{M. C. Cardoso} and \textit{V. Futorny}, Proc. Am. Math. Soc. 151, No. 3, 1041--1053 (2023; Zbl 1510.17013) Full Text: DOI arXiv
Arias, Juan Camilo; Futorny, Vyacheslav; Misra, Kailash C. Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras. arXiv:2307.06491 Preprint, arXiv:2307.06491 [math.RT] (2023). MSC: 17B37 17B67 17B10 BibTeX Cite \textit{J. C. Arias} et al., ``Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras'', Preprint, arXiv:2307.06491 [math.RT] (2023) Full Text: arXiv OA License
Futorny, Vyacheslav; Hernández Morales, Oscar Armando; Ramirez, Luis Enrique Simple modules for affine vertex algebras in the minimal nilpotent orbit. (English) Zbl 1498.17015 Int. Math. Res. Not. 2022, No. 20, 15788-15825 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B69 PDFBibTeX XMLCite \textit{V. Futorny} et al., Int. Math. Res. Not. 2022, No. 20, 15788--15825 (2022; Zbl 1498.17015) Full Text: DOI arXiv
Futorny, Vyacheslav Representations of Lie algebras. (English) Zbl 1512.17008 São Paulo J. Math. Sci. 16, No. 1, 131-156 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17-02 17B65 17B67 PDFBibTeX XMLCite \textit{V. Futorny}, São Paulo J. Math. Sci. 16, No. 1, 131--156 (2022; Zbl 1512.17008) Full Text: DOI
Bezerra, Luan; Calixto, Lucas; Futorny, Vyacheslav; Kashuba, Iryna Representations of affine Lie superalgebras and their quantization in type \(A\). (English) Zbl 1521.17048 J. Algebra 611, 320-340 (2022). MSC: 17B67 17B37 PDFBibTeX XMLCite \textit{L. Bezerra} et al., J. Algebra 611, 320--340 (2022; Zbl 1521.17048) Full Text: DOI arXiv
Bock, Wolfgang; Futorny, Vyacheslav; Neklyudov, Mikhail A Poisson algebra on the Hida test functions and a quantization using the Cuntz algebra. (English) Zbl 1491.81023 Lett. Math. Phys. 112, No. 2, Paper No. 24, 11 p. (2022). MSC: 81S99 17B63 16W10 46B04 17B81 PDFBibTeX XMLCite \textit{W. Bock} et al., Lett. Math. Phys. 112, No. 2, Paper No. 24, 11 p. (2022; Zbl 1491.81023) Full Text: DOI arXiv
Futorny, Vyacheslav; Serganova, Vera; Zhang, Jian Gelfand-Tsetlin modules for \(\mathfrak{gl}(m|n)\). (English) Zbl 1496.17004 Math. Res. Lett. 28, No. 5, 1379-1418 (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B35 17B37 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Math. Res. Lett. 28, No. 5, 1379--1418 (2021; Zbl 1496.17004) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Classification of simple Gelfand-Tsetlin modules of \(\mathfrak{sl}(3)\). (English) Zbl 1501.17007 Bull. Math. Sci. 11, No. 3, Article ID 2130001, 109 p. (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 16G99 PDFBibTeX XMLCite \textit{V. Futorny} et al., Bull. Math. Sci. 11, No. 3, Article ID 2130001, 109 p. (2021; Zbl 1501.17007) Full Text: DOI
Calixto, L.; Futorny, V. Non-standard Verma type modules for \(\mathfrak{q}(n)^{(2)}\). (English) Zbl 1482.17053 Transform. Groups 26, No. 3, 809-825 (2021). Reviewer: Li Luo (Shanghai) MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{L. Calixto} and \textit{V. Futorny}, Transform. Groups 26, No. 3, 809--825 (2021; Zbl 1482.17053) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor Positive energy representations of affine vertex algebras. (English) Zbl 1470.17017 Commun. Math. Phys. 383, No. 2, 841-891 (2021). MSC: 17B69 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{L. Křižka}, Commun. Math. Phys. 383, No. 2, 841--891 (2021; Zbl 1470.17017) Full Text: DOI arXiv
Calixto, Lucas; Futorny, Vyacheslav Highest weight modules for affine Lie superalgebras. (English) Zbl 1475.17042 Rev. Mat. Iberoam. 37, No. 1, 129-160 (2021). Reviewer: Zhihua Chang (Guangzhou) MSC: 17B67 PDFBibTeX XMLCite \textit{L. Calixto} and \textit{V. Futorny}, Rev. Mat. Iberoam. 37, No. 1, 129--160 (2021; Zbl 1475.17042) Full Text: DOI arXiv
Bock, Wolfgang; Futorny, Vyacheslav; Neklyudov, Mikhail Convex topological algebras via linear vector fields and Cuntz algebras. (English) Zbl 1502.17023 J. Pure Appl. Algebra 225, No. 3, Article ID 106535, 17 p. (2021). Reviewer: Boris Doubrov (Minsk) MSC: 17B66 17B68 42C40 PDFBibTeX XMLCite \textit{W. Bock} et al., J. Pure Appl. Algebra 225, No. 3, Article ID 106535, 17 p. (2021; Zbl 1502.17023) Full Text: DOI arXiv
Calixto, Lucas; Futorny, Vyacheslav; Rocha, Henrique Harish-Chandra modules for map and affine Lie superalgebras. arXiv:2104.07517 Preprint, arXiv:2104.07517 [math.RT] (2021). MSC: 17B10 17B65 BibTeX Cite \textit{L. Calixto} et al., ``Harish-Chandra modules for map and affine Lie superalgebras'', Preprint, arXiv:2104.07517 [math.RT] (2021) Full Text: arXiv OA License
Futorny, Vyacheslav; Rigal, Laurent; Solotar, Andrea Weight modules of quantum Weyl algebras. (English) Zbl 1480.16052 Math. Res. Lett. 27, No. 6, 1707-1753 (2020). MSC: 16S85 16S80 16T20 17B37 PDFBibTeX XMLCite \textit{V. Futorny} et al., Math. Res. Lett. 27, No. 6, 1707--1753 (2020; Zbl 1480.16052) Full Text: DOI
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique; Zadunaisky, Pablo Gelfand-Tsetlin theory for rational Galois algebras. (English) Zbl 1481.16029 Isr. J. Math. 239, No. 1, 99-128 (2020). MSC: 16S30 16S32 16S99 17B10 20F55 PDFBibTeX XMLCite \textit{V. Futorny} et al., Isr. J. Math. 239, No. 1, 99--128 (2020; Zbl 1481.16029) Full Text: DOI arXiv Backlinks: MO
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\). (English) Zbl 07210928 Algebr. Represent. Theory 23, No. 3, 811-832 (2020). MSC: 17B10 17B37 17B20 17B35 PDFBibTeX XMLCite \textit{V. Futorny} et al., Algebr. Represent. Theory 23, No. 3, 811--832 (2020; Zbl 07210928) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique; Zadunaisky, Pablo Bounds of Gelfand-Tsetlin multiplicities and tableaux realizations of Verma modules. (English) Zbl 1472.16016 J. Algebra 556, 412-436 (2020). MSC: 16G99 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 556, 412--436 (2020; Zbl 1472.16016) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Gelfand-Tsetlin representations of finite \(W\)-algebras. (English) Zbl 1466.17003 J. Pure Appl. Algebra 224, No. 5, Article ID 106226, 26 p. (2020). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 17B10 17B37 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Pure Appl. Algebra 224, No. 5, Article ID 106226, 26 p. (2020; Zbl 1466.17003) Full Text: DOI
Billig, Yuly; Futorny, Vyacheslav; Iohara, Kenji; Kashuba, Iryna Classification of simple strong Harish-Chandra \(W(m,n)\)-modules. arXiv:2006.05618 Preprint, arXiv:2006.05618 [math.RT] (2020). MSC: 17B10 17B66 17B68 BibTeX Cite \textit{Y. Billig} et al., ``Classification of simple strong Harish-Chandra $W(m,n)$-modules'', Preprint, arXiv:2006.05618 [math.RT] (2020) Full Text: arXiv OA License
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Drinfeld category and the classification of singular Gelfand-Tsetlin \(\mathfrak{gl}_n\)-modules. (English) Zbl 1439.17011 Int. Math. Res. Not. 2019, No. 5, 1463-1478 (2019). MSC: 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Int. Math. Res. Not. 2019, No. 5, 1463--1478 (2019; Zbl 1439.17011) Full Text: DOI arXiv
Futorny, Vyacheslav; Schwarz, João Quantum linear Galois orders. (English) Zbl 1468.17020 Commun. Algebra 47, No. 12, 5361-5369 (2019). MSC: 17B35 17B37 16W22 16S30 16S32 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{J. Schwarz}, Commun. Algebra 47, No. 12, 5361--5369 (2019; Zbl 1468.17020) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav; Nilsson, Jonathan Representations of Lie algebras of vector fields on affine varieties. (English) Zbl 1473.17020 Isr. J. Math. 233, No. 1, 379-399 (2019). Reviewer: Ming Li (Taiyuan) MSC: 17B10 22E47 17B66 PDFBibTeX XMLCite \textit{Y. Billig} et al., Isr. J. Math. 233, No. 1, 379--399 (2019; Zbl 1473.17020) Full Text: DOI arXiv
Futorny, Vyacheslav; Kochloukova, Dessislava H.; Sidki, Said N. On self-similar Lie algebras and virtual endomorphisms. (English) Zbl 1472.17065 Math. Z. 292, No. 3-4, 1123-1156 (2019). Reviewer: Victor Petrogradsky (Brasília) MSC: 17B50 17B05 17B60 17B66 PDFBibTeX XMLCite \textit{V. Futorny} et al., Math. Z. 292, No. 3--4, 1123--1156 (2019; Zbl 1472.17065) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor Geometric construction of Gelfand-Tsetlin modules over simple Lie algebras. (English) Zbl 1448.17011 J. Pure Appl. Algebra 223, No. 11, 4901-4924 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{L. Křižka}, J. Pure Appl. Algebra 223, No. 11, 4901--4924 (2019; Zbl 1448.17011) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Explicit construction of irreducible modules for \(U_q(\mathfrak{gl}_n)\). (English) Zbl 1446.17027 São Paulo J. Math. Sci. 13, No. 1, 83-95 (2019). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., São Paulo J. Math. Sci. 13, No. 1, 83--95 (2019; Zbl 1446.17027) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Quantum Howe duality and invariant polynomials. (English) Zbl 1462.17018 J. Algebra 530, 326-367 (2019). Reviewer: Li Luo (Shanghai) MSC: 17B37 20G42 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 530, 326--367 (2019; Zbl 1462.17018) Full Text: DOI arXiv
Futorny, Vyacheslav; Hartwig, Jonas T. De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum \(\mathfrak{gl}_N\). (English) Zbl 1466.17006 Linear Algebra Appl. 568, 173-188 (2019). Reviewer: Justyna Kosakowska (Toruń) MSC: 17B37 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{J. T. Hartwig}, Linear Algebra Appl. 568, 173--188 (2019; Zbl 1466.17006) Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr Geometric realizations of affine Kac-Moody algebras. (English) Zbl 1423.22020 J. Algebra 528, 177-216 (2019). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 22E67 22E70 22E65 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 528, 177--216 (2019; Zbl 1423.22020) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Combinatorial construction of Gelfand-Tsetlin modules for \(\mathfrak{gl}_n\). (English) Zbl 1446.17014 Adv. Math. 343, 681-711 (2019). MSC: 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Adv. Math. 343, 681--711 (2019; Zbl 1446.17014) Full Text: DOI arXiv
Futorny, Vyacheslav Representations of Galois algebras. (English) Zbl 1495.17009 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1303-1320 (2018). MSC: 17B10 17B05 16G30 PDFBibTeX XMLCite \textit{V. Futorny}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1303--1320 (2018; Zbl 1495.17009) Full Text: DOI
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Gelfand-Tsetlin modules of \(\mathfrak{sl}(3)\) in the principal block. (English) Zbl 1462.17012 Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 713, 121-134 (2018). MSC: 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Contemp. Math. 713, 121--134 (2018; Zbl 1462.17012) Full Text: DOI
Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. Imaginary crystal bases for \(U_q(\widehat{\mathfrak{sl}(2)})\)-modules in category \(\mathcal{O}^q_{\mathrm{red,im}}\). (English) Zbl 1462.17017 Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 713, 47-59 (2018). MSC: 17B37 17B10 17B67 17B65 PDFBibTeX XMLCite \textit{B. Cox} et al., Contemp. Math. 713, 47--59 (2018; Zbl 1462.17017) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav Lie algebras of vector fields on smooth affine varieties. (English) Zbl 1434.17029 Commun. Algebra 46, No. 8, 3413-3429 (2018). MSC: 17B66 17B20 PDFBibTeX XMLCite \textit{Y. Billig} and \textit{V. Futorny}, Commun. Algebra 46, No. 8, 3413--3429 (2018; Zbl 1434.17029) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Irreducible subquotients of generic Gelfand-Tsetlin modules over \(U_q(\mathfrak{gl}_n)\). (English) Zbl 1433.17016 J. Pure Appl. Algebra 222, No. 10, 3182-3194 (2018). MSC: 17B37 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Pure Appl. Algebra 222, No. 10, 3182--3194 (2018; Zbl 1433.17016) Full Text: DOI arXiv
Futorny, Vyacheslav; Liu, Genqiang; Lu, Rencai; Zhao, Kaiming New families of irreducible weight modules over \(\mathfrak{sl}_3\). (English) Zbl 1432.17006 J. Algebra 501, 458-472 (2018). MSC: 17B10 17B20 17B65 17B66 17B68 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 501, 458--472 (2018; Zbl 1432.17006) Full Text: DOI arXiv
Futorny, Vyacheslav; Ramirez, Luis Enrique; Zhang, Jian Gelfand-Tsetlin modules of quantum \(\mathfrak{gl}_n\) defined by admissible sets of relations. (English) Zbl 1396.17013 J. Algebra 499, 375-396 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B67 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 499, 375--396 (2018; Zbl 1396.17013) Full Text: DOI arXiv
Futorny, Vyacheslav; Kashuba, Iryna Structure of parabolically induced modules for affine Kac-Moody algebras. (English) Zbl 1425.17035 J. Algebra 500, 362-374 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{I. Kashuba}, J. Algebra 500, 362--374 (2018; Zbl 1425.17035) Full Text: DOI arXiv
Futorny, Vyacheslav; Klymchuk, Tetiana; Petravchuk, Anatolii P.; Sergeichuk, Vladimir V. Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras. (English) Zbl 1374.15024 Linear Algebra Appl. 536, 201-209 (2018). MSC: 15A21 16G60 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Linear Algebra Appl. 536, 201--209 (2018; Zbl 1374.15024) Full Text: DOI arXiv
Futorny, Vyacheslav; Rigal, Laurent; Solotar, Andrea Weight modules of quantized Weyl algebras. arXiv:1812.02118 Preprint, arXiv:1812.02118 [math.RT] (2018). MSC: 17B37 16D30 16D60 16P40 16S32 16S36 BibTeX Cite \textit{V. Futorny} et al., ``Weight modules of quantized Weyl algebras'', Preprint, arXiv:1812.02118 [math.RT] (2018) Full Text: arXiv OA License
Billig, Yuly; Futorny, Vyacheslav Classification of simple cuspidal modules for solenoidal Lie algebras. (English) Zbl 1432.17026 Isr. J. Math. 222, No. 1, 109-123 (2017). MSC: 17B66 17B10 17B68 PDFBibTeX XMLCite \textit{Y. Billig} and \textit{V. Futorny}, Isr. J. Math. 222, No. 1, 109--123 (2017; Zbl 1432.17026) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique New singular Gelfand-Tsetlin \(\mathfrak{gl}(n)\)-modules of index 2. (English) Zbl 1396.17006 Commun. Math. Phys. 355, No. 3, 1209-1241 (2017). MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Commun. Math. Phys. 355, No. 3, 1209--1241 (2017; Zbl 1396.17006) Full Text: DOI arXiv
Arakawa, Tomoyuki; Futorny, Vyacheslav; Ramirez, Luis Enrique Weight representations of admissible affine vertex algebras. (English) Zbl 1406.17037 Commun. Math. Phys. 353, No. 3, 1151-1178 (2017). MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{T. Arakawa} et al., Commun. Math. Phys. 353, No. 3, 1151--1178 (2017; Zbl 1406.17037) Full Text: DOI arXiv
Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases. (English) Zbl 1418.17033 J. Algebra 481, 12-35 (2017). MSC: 17B37 17B10 17B67 PDFBibTeX XMLCite \textit{B. Cox} et al., J. Algebra 481, 12--35 (2017; Zbl 1418.17033) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav Classification of irreducible representations of Lie algebra of vector fields on a torus. (English) Zbl 1379.17011 J. Reine Angew. Math. 720, 199-216 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B66 17B10 PDFBibTeX XMLCite \textit{Y. Billig} and \textit{V. Futorny}, J. Reine Angew. Math. 720, 199--216 (2016; Zbl 1379.17011) Full Text: DOI
Eswara Rao, S.; Futorny, V.; Sharma, Sachin S. Weyl modules associated to Kac-Moody Lie algebras. (English) Zbl 1403.17025 Commun. Algebra 44, No. 12, 5045-5057 (2016). MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{S. Eswara Rao} et al., Commun. Algebra 44, No. 12, 5045--5057 (2016; Zbl 1403.17025) Full Text: DOI arXiv
Futorny, Vyacheslav; Iyer, Uma N. Representations of \(D_q(k[x])\). (English) Zbl 1348.16020 Isr. J. Math. 212, No. 1, 473-506 (2016). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S32 16S36 16S15 17B10 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{U. N. Iyer}, Isr. J. Math. 212, No. 1, 473--506 (2016; Zbl 1348.16020) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Singular Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). (English) Zbl 1391.17005 Adv. Math. 290, 453-482 (2016). MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{V. Futorny} et al., Adv. Math. 290, 453--482 (2016; Zbl 1391.17005) Full Text: DOI arXiv
Futorny, V.; Hartwig, J. T.; Wilson, E. A. Quantum affine modules for non-twisted affine Kac-Moody algebras. (English) Zbl 1376.17022 Proc. Am. Math. Soc. 143, No. 12, 5159-5171 (2015). MSC: 17B37 17B67 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Proc. Am. Math. Soc. 143, No. 12, 5159--5171 (2015; Zbl 1376.17022) Full Text: DOI arXiv
Futorny, Vyacheslav; Molev, Alexander Quantization of the shift of argument subalgebras in type \(A\). (English) Zbl 1376.17017 Adv. Math. 285, 1358-1375 (2015). MSC: 17B35 17B20 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{A. Molev}, Adv. Math. 285, 1358--1375 (2015; Zbl 1376.17017) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Martins, Renato A. Localization of free field realizations of affine Lie algebras. (English) Zbl 1390.17034 Lett. Math. Phys. 105, No. 4, 483-502 (2015). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Lett. Math. Phys. 105, No. 4, 483--502 (2015; Zbl 1390.17034) Full Text: DOI arXiv
Futorny, Vyacheslav; Hartwig, Jonas; Wilson, Evan Irreducible completely pointed modules of quantum groups of type \(A\). (English) Zbl 1369.17009 J. Algebra 432, 252-279 (2015). MSC: 17B37 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Algebra 432, 252--279 (2015; Zbl 1369.17009) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique Irreducible generic Gelfand-Tsetlin modules of \(\mathfrak{gl}(n)\). (English) Zbl 1347.17012 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 018, 13 p. (2015). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B67 17B10 05E10 PDFBibTeX XMLCite \textit{V. Futorny} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 018, 13 p. (2015; Zbl 1347.17012) Full Text: DOI arXiv EMIS
Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\). (English) Zbl 1352.17016 J. Algebra 424, 390-415 (2015). MSC: 17B37 17B67 17B10 PDFBibTeX XMLCite \textit{B. Cox} et al., J. Algebra 424, 390--415 (2015; Zbl 1352.17016) Full Text: DOI arXiv
Cox, Ben; Futorny, Vyacheslav; Misra, Kailash C. An imaginary PBW basis for quantum affine algebras of type 1. (English) Zbl 1382.17009 J. Pure Appl. Algebra 219, No. 1, 83-100 (2015). MSC: 17B37 17B10 17B67 PDFBibTeX XMLCite \textit{B. Cox} et al., J. Pure Appl. Algebra 219, No. 1, 83--100 (2015; Zbl 1382.17009) Full Text: DOI arXiv
Futorny, Vyacheslav; Grantcharov, Dimitar; Ramirez, Luis Enrique On the classification of irreducible Gelfand-Tsetlin modules of \(\mathfrak{sl}(3)\). (English) Zbl 1358.17011 Achar, Pramod N. (ed.) et al., Recent advances in representation theory, quantum groups, algebraic geometry, and related topics. AMS special sessions on “Geometric and algebraic aspects of representation theory and quantum groups” and “Noncommutative algebraic geometry”, Tulane University, New Orleans, LA, USA, October 13–14, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9852-9/pbk; 978-1-4704-1929-5/ebook). Contemporary Mathematics 623, 63-79 (2014). MSC: 17B20 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Contemp. Math. 623, 63--79 (2014; Zbl 1358.17011)
Futorny, Vyacheslav; Kashuba, Iryna Generalized loop modules for affine Kac-Moody algebras. (English) Zbl 1391.17024 Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Algebraic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09803-6/hbk; 978-3-319-09804-3/ebook). Developments in Mathematics 38, 175-183 (2014). MSC: 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{I. Kashuba}, Dev. Math. 38, 175--183 (2014; Zbl 1391.17024) Full Text: DOI
Cox, Ben; Futorny, Vyacheslav; Martins, Renato Alessandro Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra. (English) Zbl 1391.17023 Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Algebraic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09803-6/hbk; 978-3-319-09804-3/ebook). Developments in Mathematics 38, 111-136 (2014). MSC: 17B65 17B69 PDFBibTeX XMLCite \textit{B. Cox} et al., Dev. Math. 38, 111--136 (2014; Zbl 1391.17023) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex. (English) Zbl 1306.17008 Trans. Am. Math. Soc. 366, No. 9, 4697-4731 (2014). MSC: 17B66 17B67 17B69 PDFBibTeX XMLCite \textit{Y. Billig} and \textit{V. Futorny}, Trans. Am. Math. Soc. 366, No. 9, 4697--4731 (2014; Zbl 1306.17008) Full Text: DOI arXiv
Futorny, Vyacheslav; Ovsienko, Serge Fibers of characters in Gelfand-Tsetlin categories. (English) Zbl 1307.16005 Trans. Am. Math. Soc. 366, No. 8, 4173-4208 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16D60 16D90 16D70 17B65 17B10 16H10 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{S. Ovsienko}, Trans. Am. Math. Soc. 366, No. 8, 4173--4208 (2014; Zbl 1307.16005) Full Text: DOI
Futorny, Vyacheslav; Grantcharov, Dimitar; Mazorchuk, Volodymyr Weight modules over infinite dimensional Weyl algebras. (English) Zbl 1331.17020 Proc. Am. Math. Soc. 142, No. 9, 3049-3057 (2014). MSC: 17B65 17B10 16D60 PDFBibTeX XMLCite \textit{V. Futorny} et al., Proc. Am. Math. Soc. 142, No. 9, 3049--3057 (2014; Zbl 1331.17020) Full Text: DOI arXiv
Futorny, Vyacheslav; Hartwig, Jonas T. Solution of a \(q\)-difference Noether problem and the quantum Gelfand-Kirillov conjecture for \(\mathfrak{gl}_N\). (English) Zbl 1297.17010 Math. Z. 276, No. 1-2, 1-37 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B35 16T20 16W22 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{J. T. Hartwig}, Math. Z. 276, No. 1--2, 1--37 (2014; Zbl 1297.17010) Full Text: DOI arXiv
Cox, Ben; Futorny, Vyacheslav; Tirao, Juan A. DJKM algebras and non-classical orthogonal polynomials. (English) Zbl 1302.17034 J. Differ. Equations 255, No. 9, 2846-2870 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 33C45 34A05 PDFBibTeX XMLCite \textit{B. Cox} et al., J. Differ. Equations 255, No. 9, 2846--2870 (2013; Zbl 1302.17034) Full Text: DOI arXiv
Eswara Rao, S.; Futorny, Vyacheslav Representations of loop Kac-Moody Lie algebras. (English) Zbl 1278.17024 Commun. Algebra 41, No. 10, 3775-3792 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B40 PDFBibTeX XMLCite \textit{S. Eswara Rao} and \textit{V. Futorny}, Commun. Algebra 41, No. 10, 3775--3792 (2013; Zbl 1278.17024) Full Text: DOI arXiv
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav; Kashuba, Iryna New irreducible modules for Heisenberg and affine Lie algebras. (English) Zbl 1306.17009 J. Algebra 373, 284-298 (2013). MSC: 17B67 PDFBibTeX XMLCite \textit{V. Bekkert} et al., J. Algebra 373, 284--298 (2013; Zbl 1306.17009) Full Text: DOI arXiv
Billig, Yuly; Futorny, Vyacheslav Classification of simple \(W_n\)-modules with finite-dimensional weight spaces. arXiv:1304.5458 Preprint, arXiv:1304.5458 [math.RT] (2013). MSC: 17B10 17B66 BibTeX Cite \textit{Y. Billig} and \textit{V. Futorny}, ``Classification of simple $W_n$-modules with finite-dimensional weight spaces'', Preprint, arXiv:1304.5458 [math.RT] (2013) Full Text: arXiv OA License
Futorny, Vyacheslav; Hartwig, Jonas T. On the consistency of twisted generalized Weyl algebras. (English) Zbl 1281.16031 Proc. Am. Math. Soc. 140, No. 10, 3349-3363 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S32 16S35 17B37 16D30 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{J. T. Hartwig}, Proc. Am. Math. Soc. 140, No. 10, 3349--3363 (2012; Zbl 1281.16031) Full Text: DOI arXiv
Cox, Ben L.; Futorny, Vyacheslav; Martins, Renato A. Virasoro action on imaginary Verma modules and the operator form of the KZ-equation. (English) Zbl 1281.17026 Lett. Math. Phys. 102, No. 2, 125-148 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{B. L. Cox} et al., Lett. Math. Phys. 102, No. 2, 125--148 (2012; Zbl 1281.17026) Full Text: DOI arXiv
Futorny, Vyacheslav; Hartwig, Jonas T. Multiparameter twisted Weyl algebras. (English) Zbl 1260.16022 J. Algebra 357, 69-93 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S32 17B10 17B37 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{J. T. Hartwig}, J. Algebra 357, 69--93 (2012; Zbl 1260.16022) Full Text: DOI arXiv
Davydov, Alexei; Futorny, Vyacheslav Commutative algebras in Drinfeld categories of abelian Lie algebras. (English) Zbl 1302.17011 Proc. Edinb. Math. Soc., II. Ser. 55, No. 3, 613-633 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 18D10 PDFBibTeX XMLCite \textit{A. Davydov} and \textit{V. Futorny}, Proc. Edinb. Math. Soc., II. Ser. 55, No. 3, 613--633 (2012; Zbl 1302.17011) Full Text: DOI arXiv
Futorny, Vyacheslav; Ovsienko, Serge; Saorín, Manuel Torsion theories induced from commutative subalgebras. (English) Zbl 1236.16006 J. Pure Appl. Algebra 215, No. 12, 2937-2948 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16D90 16S90 16D60 16D70 17B65 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., J. Pure Appl. Algebra 215, No. 12, 2937--2948 (2011; Zbl 1236.16006) Full Text: DOI arXiv
Cox, Ben; Futorny, Vyacheslav DJKM algebras. I: Their universal central extension. (English) Zbl 1269.17009 Proc. Am. Math. Soc. 139, No. 10, 3451-3460 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 17B67 81R10 PDFBibTeX XMLCite \textit{B. Cox} and \textit{V. Futorny}, Proc. Am. Math. Soc. 139, No. 10, 3451--3460 (2011; Zbl 1269.17009) Full Text: DOI arXiv
Futorny, Vyacheslav; Ovsienko, Serge; Saorin, Manuel Gelfand-Tsetlin categories. (English) Zbl 1217.18012 Polcino Milies, César (ed.), Groups, algebras and applications. XVIII Latin American algebra colloquium, São Pedro, Brazil, August 3–8, 2009. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5239-2/pbk). Contemporary Mathematics 537, 193-203 (2011). MSC: 18E99 16D60 16D90 16D70 17B65 17B10 PDFBibTeX XMLCite \textit{V. Futorny} et al., Contemp. Math. 537, 193--203 (2011; Zbl 1217.18012)
Cox, Ben; Futorny, Vyacheslav; Misra, Kailash Imaginary Verma modules and Kashiwara algebras for \(U_q(\widehat{{\mathfrak{sl}}}(2))\). (English) Zbl 1267.17009 Gao, Yun (ed) et al., Quantum affine algebras, extended affine Lie algebras, and their applications. Proceedings of the workshop, March 2–7, 2008, Banff, Canada. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4507-3/pbk). Contemporary Mathematics 506, 105-126 (2010). MSC: 17B37 17B67 81R50 PDFBibTeX XMLCite \textit{B. Cox} et al., Contemp. Math. 506, 105--126 (2010; Zbl 1267.17009) Full Text: arXiv
Futorny, Vyacheslav; Ovsienko, Serge Galois orders in skew monoid rings. (English) Zbl 1204.16010 J. Algebra 324, No. 4, 598-630 (2010). Reviewer: Wolfgang Rump (Stuttgart) MSC: 16H10 16S36 16W22 17B35 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{S. Ovsienko}, J. Algebra 324, No. 4, 598--630 (2010; Zbl 1204.16010) Full Text: DOI arXiv
Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge The Gelfand-Kirillov conjecture and Gelfand-Tsetlin modules for finite \(W\)-algebras. (English) Zbl 1268.17012 Adv. Math. 223, No. 3, 773-796 (2010). MSC: 17B35 17B37 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Adv. Math. 223, No. 3, 773--796 (2010; Zbl 1268.17012) Full Text: DOI arXiv
Dimitrov, Ivan; Futorny, Vyacheslav; Grantcharov, Dimitar Parabolic sets of roots. (English) Zbl 1229.17008 Giambruno, Antonio (ed.) et al., Groups, rings and group rings. International conference, Ubatuba, Brazil, July 28–August 2, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4771-8/pbk). Contemporary Mathematics 499, 61-73 (2009). Reviewer: Saeid Azam (Isfahan) MSC: 17B22 17B67 PDFBibTeX XMLCite \textit{I. Dimitrov} et al., Contemp. Math. 499, 61--73 (2009; Zbl 1229.17008) Full Text: arXiv
Eswara Rao, Senapathi; Futorny, Vyacheslav Integrable modules for affine Lie superalgebras. (English) Zbl 1197.17013 Trans. Am. Math. Soc. 361, No. 10, 5435-5455 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{S. Eswara Rao} and \textit{V. Futorny}, Trans. Am. Math. Soc. 361, No. 10, 5435--5455 (2009; Zbl 1197.17013) Full Text: DOI arXiv
Bueno, André; Cox, Ben; Futorny, Vyacheslav Free field realizations of the elliptic affine Lie algebra \(\mathfrak{sl}(2, \mathbb R)\oplus (\varOmega_R/dR)\). (English) Zbl 1217.17015 J. Geom. Phys. 59, No. 9, 1258-1270 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{A. Bueno} et al., J. Geom. Phys. 59, No. 9, 1258--1270 (2009; Zbl 1217.17015) Full Text: DOI arXiv
Futorny, Vyacheslav; Kashuba, Iryna Induced modules for affine Lie algebras. (English) Zbl 1209.17021 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 026, 14 p. (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B65 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{I. Kashuba}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 026, 14 p. (2009; Zbl 1209.17021) Full Text: DOI arXiv EuDML
Futorny, V.; Molev, A.; Ovsienko, S. Gelfand-Tsetlin bases for representations of finite \(W\)-algebras and shifted Yangians. (English) Zbl 1202.81093 Bulg. J. Phys. 35, No. S1, 352-363 (2008). MSC: 81R10 17B68 17B80 PDFBibTeX XMLCite \textit{V. Futorny} et al., Bulg. J. Phys. 35, No. S1, 352--363 (2008; Zbl 1202.81093) Full Text: arXiv Link
Futorny, Vyacheslav; Jardim, Marcos; Moura, Adriano A. On moduli spaces for abelian categories. (English) Zbl 1168.14010 Commun. Algebra 36, No. 6, 2171-2185 (2008). Reviewer: Brian Smithling (Toronto) MSC: 14D20 16G20 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Commun. Algebra 36, No. 6, 2171--2185 (2008; Zbl 1168.14010) Full Text: DOI arXiv
Futorny, Vyacheslav; Ovsienko, Serge Harish-Chandra categories. (English) Zbl 1211.16006 Ferrer Santos, Walter (ed.) et al., Actas del XVI coloquio Latinoamericano de álgebra. Madrid: Revista Matemática Iberoamericana (ISBN 978-84-611-7907-7/pbk). Biblioteca de la Revista Matemática Iberoamericana, 271-286 (2007). MSC: 16D90 17B35 20C15 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{S. Ovsienko}, in: Actas del XVI coloquio Latinoamericano de álgebra. Madrid: Revista Matemática Iberoamericana. 271--286 (2007; Zbl 1211.16006) Full Text: arXiv
Billig, Y.; Futorny, V.; Molev, A. Verma modules for Yangians. (English) Zbl 1124.17004 Lett. Math. Phys. 78, No. 1, 1-16 (2006). Reviewer: Xiandong Wang (Shandong) MSC: 17B10 81R10 17B37 PDFBibTeX XMLCite \textit{Y. Billig} et al., Lett. Math. Phys. 78, No. 1, 1--16 (2006; Zbl 1124.17004) Full Text: DOI arXiv
Cox, Ben L.; Futorny, Vyacheslav Structure of intermediate Wakimoto modules. (English) Zbl 1168.17014 J. Algebra 306, No. 2, 682-702 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{B. L. Cox} and \textit{V. Futorny}, J. Algebra 306, No. 2, 682--702 (2006; Zbl 1168.17014) Full Text: DOI arXiv
Futorny, Vyacheslav Representations of affine Lie superalgebras. (English) Zbl 1106.17002 Giambruno, Antonio (ed.) et al., Groups, rings and group rings. Proceedings of the conference, Ubatuba, Brazil, July 26–31, 2004. In honor of the 60th birthday of Prof. César Polcino Milies. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-581-5/pbk). Lecture Notes in Pure and Applied Mathematics 248, 163-172 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 PDFBibTeX XMLCite \textit{V. Futorny}, Lect. Notes Pure Appl. Math. 248, 163--172 (2006; Zbl 1106.17002)
Futorny, Vyacheslav; Molev, Alexander; Ovsienko, Serge Harish-Chandra modules for Yangians. (English) Zbl 1190.17006 Represent. Theory 9, 426-454 (2005). MSC: 17B35 17B67 PDFBibTeX XMLCite \textit{V. Futorny} et al., Represent. Theory 9, 426--454 (2005; Zbl 1190.17006) Full Text: arXiv
Futorny, Vyacheslav Realizations of affine Lie algebras. (English) Zbl 1122.17017 Algebra Discrete Math. 2005, No. 1, 30-46 (2005). MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{V. Futorny}, Algebra Discrete Math. 2005, No. 1, 30--46 (2005; Zbl 1122.17017)
Futorny, Vyacheslav M.; Grishkov, Alexander N.; Melville, Duncan J. Verma-type modules for quantum affine Lie algebras. (English) Zbl 1129.17011 Algebr. Represent. Theory 8, No. 1, 99-125 (2005). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B67 81R50 PDFBibTeX XMLCite \textit{V. M. Futorny} et al., Algebr. Represent. Theory 8, No. 1, 99--125 (2005; Zbl 1129.17011) Full Text: DOI arXiv
Futorny, Vyacheslav; Ovsienko, Serge Kostant’s theorem for special filtered algebras. (English) Zbl 1142.17005 Bull. Lond. Math. Soc. 37, No. 2, 187-199 (2005). MSC: 17B30 16W70 17B70 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{S. Ovsienko}, Bull. Lond. Math. Soc. 37, No. 2, 187--199 (2005; Zbl 1142.17005) Full Text: DOI arXiv
Futorny, Vyacheslav Harish-Chandra categories and Kostant’s theorem. (English) Zbl 1166.17300 Resen. Inst. Mat. Estat. Univ. São Paulo 6, No. 2-3, 177-186 (2004). MSC: 17B35 17B67 PDFBibTeX XMLCite \textit{V. Futorny}, Resen. Inst. Mat. Estat. Univ. São Paulo 6, No. 2--3, 177--186 (2004; Zbl 1166.17300)
Dimitrov, Ivan; Futorny, Vyacheslav; Penkov, Ivan A reduction theorem for highest weight modules over toroidal Lie algebras. (English) Zbl 1090.17011 Commun. Math. Phys. 250, No. 1, 47-63 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 17B10 PDFBibTeX XMLCite \textit{I. Dimitrov} et al., Commun. Math. Phys. 250, No. 1, 47--63 (2004; Zbl 1090.17011) Full Text: DOI
Cox, Ben L.; Futorny, Vyacheslav Intermediate Wakimoto modules for affine \(\mathfrak{sl}(n+1, \mathbb C)\). (English) Zbl 1073.81048 J. Phys. A, Math. Gen. 37, No. 21, 5589-5603 (2004). MSC: 81R10 17B67 PDFBibTeX XMLCite \textit{B. L. Cox} and \textit{V. Futorny}, J. Phys. A, Math. Gen. 37, No. 21, 5589--5603 (2004; Zbl 1073.81048) Full Text: DOI arXiv
Bekkert, Viktor; Benkart, Georgia; Futorny, Vyacheslav Weight modules for Weyl algebras. (English) Zbl 1057.16021 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 17-42 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S32 16D60 17B10 16S36 16G60 17B65 PDFBibTeX XMLCite \textit{V. Bekkert} et al., Contemp. Math. 343, 17--42 (2004; Zbl 1057.16021) Full Text: arXiv
Britten, D. J.; Futorny, V. M.; Lemire, F. W. Submodule lattice of generalized Verma modules. (English) Zbl 1058.17004 Commun. Algebra 31, No. 12, 6175-6197 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B20 PDFBibTeX XMLCite \textit{D. J. Britten} et al., Commun. Algebra 31, No. 12, 6175--6197 (2003; Zbl 1058.17004) Full Text: DOI
Dokuchaev, M.; Vasconcellos Figueiredo, L. M.; Futorny, V. Imaginary Verma modules for the extended affine Lie algebra \(sl_2(\mathbb C_q)\). (English) Zbl 1026.17029 Commun. Algebra 31, No. 1, 289-308 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 22E47 17B65 PDFBibTeX XMLCite \textit{M. Dokuchaev} et al., Commun. Algebra 31, No. 1, 289--308 (2003; Zbl 1026.17029) Full Text: DOI arXiv
Futorny, V.; König, S.; Mazorchuk, V. Categories of induced modules and standardly stratified algebras. (English) Zbl 1031.17008 Algebr. Represent. Theory 5, No. 3, 259-276 (2002). Reviewer: Alexander Rudy (Minsk) MSC: 17B35 17B10 16G10 17B20 PDFBibTeX XMLCite \textit{V. Futorny} et al., Algebr. Represent. Theory 5, No. 3, 259--276 (2002; Zbl 1031.17008) Full Text: DOI