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
Bavula, V. V.; Bekkert, V.; Futorny, V. Explicit description of generalized weight modules of the algebra of polynomial integro-differential operators \(\mathbb{I}_n\). (English) Zbl 1509.16007 Asian J. Math. 25, No. 5, 727-756 (2021). Reviewer: Blas Torrecillas (Almería) MSC: 16D60 16D70 16G60 16P50 16U20 PDFBibTeX XMLCite \textit{V. V. Bavula} et al., Asian J. Math. 25, No. 5, 727--756 (2021; Zbl 1509.16007) 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 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
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
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. 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
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
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
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)
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
Futorny, V.; Mazorchuk, V. Structure of \(\alpha\)-stratified modules for finite-dimensional Lie algebras. I. (English) Zbl 0869.17006 J. Algebra 183, No. 2, 456-482 (1996). Reviewer: Pham Huu Tiep (Columbus) MSC: 17B10 17B20 22E46 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{V. Mazorchuk}, J. Algebra 183, No. 2, 456--482 (1996; Zbl 0869.17006) Full Text: DOI
Futorny, V. M.; Pollack, D. A new category of Lie algebra modules satisfying the BGG reciprocity principle. (English) Zbl 0817.17010 Commun. Algebra 22, No. 1, 213-227 (1994). Reviewer: N.Sthanumoorthy (Madras) MSC: 17B10 22E46 PDFBibTeX XMLCite \textit{V. M. Futorny} and \textit{D. Pollack}, Commun. Algebra 22, No. 1, 213--227 (1994; Zbl 0817.17010) Full Text: DOI
Coleman, A. John; Futorny, Vyacheslav M. Stratified \(L\)-modules. (English) Zbl 0817.17009 J. Algebra 163, No. 1, 219-234 (1994). Reviewer: N.Sthanumoorthy (Madras) MSC: 17B10 17B20 22E46 PDFBibTeX XMLCite \textit{A. J. Coleman} and \textit{V. M. Futorny}, J. Algebra 163, No. 1, 219--234 (1994; Zbl 0817.17009) Full Text: DOI
Drozd, Yu. A.; Ovsienko, S. A.; Futornyj, V. M. On Gelfand-Zetlin modules. (English) Zbl 0754.17005 Geometry and physics, Proc. Winter Sch., Srni/Czech. 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 26, 143-147 (1991). Reviewer: A.Klimyk (Kiev) MSC: 17B20 17B35 PDFBibTeX XMLCite \textit{Yu. A. Drozd} et al., in: Proceedings of the winter school on geometry and physics, held in Srni, Czechoslovakia, 6-13 January, 1990. Palermo: Circolo Matematico di Palermo. 143--147 (1991; Zbl 0754.17005)
Futornyĭ, V. M. One construction of irreducible representations of semisimple Lie algebras. (English. Russian original) Zbl 0628.17002 Funct. Anal. Appl. 21, No. 1-3, 170-171 (1987); translation from Funkts. Anal. Prilozh. 21, No. 2, 92-93 (1987). Reviewer: A. G. Geĭn (Sverdlovsk) MSC: 17B10 17B20 17B22 PDFBibTeX XMLCite \textit{V. M. Futornyĭ}, Funct. Anal. Appl. 21, No. 1--3, 170--171 (1987; Zbl 0628.17002); translation from Funkts. Anal. Prilozh. 21, No. 2, 92--93 (1987) Full Text: DOI
Futornyj, V. M. A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3). (English. Russian original) Zbl 0614.17005 Ukr. Math. J. 38, 422-427 (1986); translation from Ukr. Mat. Zh. 38, No. 4, 492-497 (1986). Reviewer: I.V.Chekalov MSC: 17B10 17B20 22E47 PDFBibTeX XMLCite \textit{V. M. Futornyj}, Ukr. Math. J. 38, 422--427 (1986; Zbl 0614.17005); translation from Ukr. Mat. Zh. 38, No. 4, 492--497 (1986) Full Text: DOI