Jiang, Jingjing Representations of the \(\mathcal{C}\)-series related to the q-analog Virasoro-like Lie algebra. (English) Zbl 07923157 Linear Algebra Appl. 699, 331-354 (2024). MSC: 17B65 17B68 × Cite Format Result Cite Review PDF Full Text: DOI
Murakami, Reiji Branching problem for tensoring two Verma modules and its application to differential symmetry breaking operators. (English) Zbl 07918128 Int. J. Math. 35, No. 11, Article ID 2450038, 11 p. (2024). MSC: 17B10 22E46 22E45 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Jiaying; He, Haian; Pan, Huangyuan; Wang, Lifu Branching laws of Klein four-symmetric pairs for \(\mathrm{Sp}(n,\mathbb{R})\). (English) Zbl 1543.22012 Geom. Dedicata 218, No. 3, Paper No. 69, 13 p. (2024). Reviewer: Jorge Vargas (Córdoba) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
Pandžić, Pavle; Prlić, Ana Sharpening the Dirac inequality. (English) Zbl 1536.22030 Rad Hrvat. Akad. Znan. Umjet. 558, Mat. Znan. 28, 327-337 (2024). MSC: 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Zhan Qiang; Jiang, Jing Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules for classical Lie algebras. (English) Zbl 1546.17005 Acta Math. Sin., Engl. Ser. 40, No. 3, 658-706 (2024). MSC: 17B10 17B20 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Jia-jun; Qiu, Congling; Zou, Jialiang Generic Hecke algebra and theta correspondence over finite fields. (English) Zbl 1535.20034 Adv. Math. 438, Article ID 109444, 44 p. (2024). MSC: 20C08 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor A Lie conformal superalgebra and duality of representations for \(E(4,4)\). (English) Zbl 07794563 Adv. Math. 437, Article ID 109416, 21 p. (2024). Reviewer: Tiago Macedo (São Paulo) MSC: 17B65 17B70 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bellamy, Gwyn; Thiel, Ulrich The rank-one property for free Frobenius extensions. (English. French summary) Zbl 1542.20028 C. R., Math., Acad. Sci. Paris 361, 1341-1348 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 16E20 16N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aluffi, Paolo; Mihalcea, Leonardo C.; Schürmann, Jörg; Su, Changjian Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells. (English) Zbl 1532.14028 Duke Math. J. 172, No. 17, 3257-3320 (2023). MSC: 14C17 14M15 32C38 14F10 17B10 14N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Congcong; Cheng, Yongsheng Verma modules over some Lie algebras of \(W\)-type. (English) Zbl 1538.17009 J. Math. Res. Appl. 43, No. 4, 447-456 (2023). MSC: 17B10 17B65 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Priyanshu; Batra, Punita A class of irreducible modules for loop-Virasoro algebras. (English) Zbl 1523.17046 J. Algebra Appl. 22, No. 7, Article ID 2350156, 13 p. (2023). Reviewer: Haibo Chen (Shanghai) MSC: 17B65 17B66 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guerrini, Marcela; Kashuba, Iryna; Morales, Oscar; de Oliveira, André; Santos, Fernando Junior Generalized imaginary Verma and Wakimoto modules. (English) Zbl 1518.17010 J. Pure Appl. Algebra 227, No. 7, Article ID 107332, 18 p. (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B67 17B69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pandžić, Pavle; Prlić, Ana; Souček, Vladimír; Tuček, Vít Dirac inequality for highest weight Harish-Chandra modules. I. (English) Zbl 1543.22015 Math. Inequal. Appl. 26, No. 1, 233-265 (2023). Reviewer: Wei Xiao (Shenzhen) MSC: 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yilian; He, Haian On the discretely decomposable restrictions of \((\mathfrak{g},K)\)-modules for Klein four symmetric pairs. (English) Zbl 1521.22012 Int. J. Math. 34, No. 1, Article ID 2250094, 16 p. (2023). Reviewer: Daniel Wong (Ithaca) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
He, Haian A necessary condition for discrete branching laws for Klein four symmetric pairs. (English) Zbl 1521.22013 J. Algebra Appl. 22, No. 2, Article ID 2350039, 9 p. (2023). Reviewer: Jorge Vargas (Córdoba) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
Dhillon, Gurbir; Raskin, Sam Localization for affine \(\mathcal{W} \)-algebras. (English) Zbl 1521.17012 Adv. Math. 413, Article ID 108837, 51 p. (2023). MSC: 17B10 17B69 22E47 22E57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Wei; Zhang, Ailin Jantzen coefficients and simplicity of parabolic Verma modules. (English) Zbl 1523.17024 J. Algebra 611, 24-64 (2022). Reviewer: Takao Imai (Chiba) MSC: 17B10 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhillon, Gurbir Bernstein-Gelfand-Gelfand resolutions and the constructible \(t\)-structure. (English) Zbl 1522.17015 J. Algebra 610, 281-308 (2022). MSC: 17B10 17B20 18G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hemelsoet, Nicolas; Voorhaar, Rik On certain Hochschild cohomology groups for the small quantum group. (English) Zbl 1511.17032 J. Algebra 608, 77-105 (2022). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B56 17-04 17-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Dong; Pei, Yufeng; Xia, Limeng A category of restricted modules for the Ovisenko-Roger algebra. (A category of restricted modules for the Ovsienko-Roger algebra.) (English) Zbl 1521.17062 Algebr. Represent. Theory 25, No. 3, 777-791 (2022). MSC: 17B68 17B69 17B65 × Cite Format Result Cite Review PDF Full Text: DOI
Dhillon, Gurbir; Khare, Apoorva The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras. (English) Zbl 1531.17008 J. Algebra 603, 164-200 (2022). Reviewer: Andrea Appel (Parma) MSC: 17B10 17B67 22E47 17B37 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Dong; Pei, Yufeng; Xia, Limeng; Zhao, Kaiming Irreducible modules over the mirror Heisenberg-Virasoro algebra. (English) Zbl 1491.17006 Commun. Contemp. Math. 24, No. 4, Article ID 2150026, 23 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B65 17B66 17B68 17B81 × Cite Format Result Cite Review PDF Full Text: DOI
Westaway, Matthew On graded representations of modular Lie algebras over commutative algebras. (English) Zbl 1510.17026 J. Pure Appl. Algebra 226, No. 8, Article ID 107033, 52 p. (2022). MSC: 17B50 13C60 17B10 18G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ginzburg, Victor Parabolic induction and the Harish-Chandra \(\mathcal{D}\)-module. (English) Zbl 1496.22007 Represent. Theory 26, 388-401 (2022). Reviewer: Zhangqiang Bai (Suzhou) MSC: 22E47 14F10 × Cite Format Result Cite Review PDF Full Text: arXiv
Naisse, Grégoire; Vaz, Pedro 2-Verma modules. (English) Zbl 1501.17022 J. Reine Angew. Math. 782, 43-108 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 18G35 18N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Jingjing Representations of the \(q\)-Klein-bottle Lie algebra. (English) Zbl 1502.17022 J. Algebra 591, 36-58 (2022). MSC: 17B65 17B68 17B10 × Cite Format Result Cite Review PDF Full Text: DOI
Romanov, Anna Four examples of Beilinson-Bernstein localization. (English) Zbl 1518.17014 Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 65-85 (2021). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kurbanbaev, T. K. Some infinite dimensional Leibniz bimodules of \(\mathfrak{sl}_2\). (English) Zbl 1499.17005 Uzb. Math. J. 65, No. 3, 113-125 (2021). MSC: 17A32 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Changjian; Zhao, Gufang; Zhong, Changlong Wall-crossings and a categorification of \(K\)-theory stable bases of the Springer resolution. (English) Zbl 1478.19006 Compos. Math. 157, No. 11, 2341-2376 (2021). Reviewer: Andrzej Weber (Warszawa) MSC: 19L47 20C08 14M15 17B50 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Haian Discrete decomposability of restrictions of \((\mathfrak{g},K)\)-modules for \((G,G^\sigma)\) with an automorphism \(\sigma\) of even order. (English) Zbl 1511.22020 Geom. Dedicata 215, 415-419 (2021). MSC: 22E46 22E47 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jang, Il-Seung; Kwon, Jae-Hoon Lusztig data of Kashiwara-Nakashima tableaux in type D. (English) Zbl 1482.17033 Algebr. Represent. Theory 24, No. 4, 959-989 (2021); correction ibid. 24, No. 4, 991 (2021). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 22E46 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lentner, Simon; Vocke, Karolina A family of new Borel subalgebras of quantum groups. (English) Zbl 1477.16037 Algebr. Represent. Theory 24, No. 2, 473-503 (2021). Reviewer: Loïc Foissy (Calais) MSC: 16T05 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Chengkang Verma modules over deformed generalized Heisenberg-Virasoro algebras. (English) Zbl 1512.17009 J. Pure Appl. Algebra 225, No. 11, Article ID 106723, 10 p. (2021). Reviewer: Haibo Chen (Shanghai) MSC: 17B10 17B68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iohara, K.; Lehrer, G. I.; Zhang, R. B. Equivalence of a tangle category and a category of infinite dimensional \(\text{U}_q(\mathfrak{sl}_2)\)-modules. (English) Zbl 1495.17023 Represent. Theory 25, 265-299 (2021). MSC: 17B37 20G42 81R50 × Cite Format Result Cite Review PDF Full Text: DOI
Dhillon, Gurbir Semi-infinite cohomology and the linkage principle for \(\mathcal{W}\)-algebras. (English) Zbl 1498.17042 Adv. Math. 381, Article ID 107625, 63 p. (2021). MSC: 17B67 14D24 16S99 17B10 17B56 18G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantarini, Nicoletta; Caselli, Fabrizio; Kac, Victor Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras. (English) Zbl 1472.17084 Adv. Math. 378, Article ID 107523, 46 p. (2021). Reviewer: Tiago Macedo (São Paulo) MSC: 17B65 17B70 17B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Zhanqiang; Xiao, Wei Reducibility of generalized Verma modules for Hermitian symmetric pairs. (English) Zbl 1475.17012 J. Pure Appl. Algebra 225, No. 4, Article ID 106561, 21 p. (2021). Reviewer: Takao Imai (Chiba) MSC: 17B10 17B20 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
Watanabe, Hideya Crystal basis theory for a quantum symmetric pair \((\mathbf{U},\mathbf{U}^{\iota })\). (English) Zbl 1465.17016 Int. Math. Res. Not. 2020, No. 22, 8292-8352 (2020). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B10 05E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Haian A criterion for discrete branching laws for Klein four symmetric pairs and its application to \(\mathrm{E}_{6(-14)}\). (English) Zbl 1498.22011 Int. J. Math. 31, No. 6, Article ID 2050049, 15 p. (2020). Reviewer: Jorge Vargas (Córdoba) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Park, Sunghyuk Large color \(R\)-matrix for knot complements and strange identities. (English) Zbl 1460.57014 J. Knot Theory Ramifications 29, No. 14, Article ID 2050097, 32 p. (2020). MSC: 57K16 57K31 16T25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Zhiqiang; Tan, Shaobin Verma modules for rank two Heisenberg-Virasoro algebra. (English) Zbl 1495.17036 Sci. China, Math. 63, No. 7, 1259-1270 (2020). MSC: 17B68 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Zhang, Jian Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\). (English) Zbl 1537.17024 Algebr. Represent. Theory 23, No. 3, 811-832 (2020). MSC: 17B37 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ou, Ke Block degeneracy for graded Lie superalgebras of Cartan type. (English) Zbl 1497.17012 J. Lie Theory 30, No. 1, 145-154 (2020). MSC: 17B10 17B35 17B50 17B70 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mehdi, Salah; Pandžić, Pavle; Vogan, David A.; Zierau, Roger Dirac index and associated cycles of Harish-Chandra modules. (English) Zbl 1433.22009 Adv. Math. 361, Article ID 106917, 34 p. (2020). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulembier, Kevin; Penkov, Ivan On an infinite limit of BGG categories \(\mathcal{O}\). (English) Zbl 1479.17018 Mosc. Math. J. 19, No. 4, 655-693 (2019). Reviewer: Angelo Bianchi (São José dos Campos) MSC: 17B10 17B65 16S37 17B55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bai, Zhan Qiang; Xiao, Wei Gelfand-Kirillov dimension and reducibility of scalar generalized Verma modules. (English) Zbl 1428.22015 Acta Math. Sin., Engl. Ser. 35, No. 11, 1854-1860 (2019). MSC: 22E47 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yi-Yang; Yao, Yu-Feng The Loewy series of principal indecomposable modules in the regular nilpotent representations of \(\mathfrak{s} \mathfrak{l}(3, k)\). (English) Zbl 1442.17009 J. Algebra Appl. 18, No. 11, Article ID 1950205, 16 p. (2019). Reviewer: Elitza Hristova (Sofia) MSC: 17B10 17B20 17B35 17B50 × Cite Format Result Cite Review PDF Full Text: DOI
Barchini, Leticia Characteristic cycles of highest weight Harish-Chandra modules and the Weyl group action on the conormal variety. (English) Zbl 1426.22010 Tohoku Math. J. (2) 71, No. 2, 171-205 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Subag, Eyal The algebraic Mackey-Higson bijections. (English) Zbl 1427.22015 J. Lie Theory 29, No. 2, 473-492 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 × Cite Format Result Cite Review PDF Full Text: arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Cuipo; Li, Haisheng On a certain category of \(\mathfrak{gl}_{\infty}\)-modules. (English) Zbl 1460.17031 Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 1, 55-86 (2019). MSC: 17B65 17B67 17B69 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vay, Cristian On projective modules over finite quantum groups. (English) Zbl 1415.17009 Transform. Groups 24, No. 1, 279-299 (2019). Reviewer: Daniel Bulacu (Bucharest) MSC: 17B10 20G42 16T20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yee, Wai Ling Signature characters of invariant Hermitian forms on irreducible Verma modules and Hall-Littlewood polynomials. (English) Zbl 1416.22021 Math. Z. 292, No. 1-2, 267-305 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E50 05E10 22E47 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrev, Vladimir K. Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. (English) Zbl 1418.17002 De Gruyter Studies in Mathematical Physics 53. Berlin: De Gruyter (ISBN 978-3-11-060968-4/hbk; 978-3-11-061140-3/ebook). ix, 231 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B60 17B68 17B37 81R40 × Cite Format Result Cite Review PDF Full Text: DOI
Mahnkopf, Joachim On slope subspaces of cohomology of \(p\)-adic Verma modules. (English) Zbl 1444.11107 Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer. Springer Proc. Math. Stat. 245, 107-155 (2018). MSC: 11F75 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
Mehdi, Salah; Pandžić, Pavle; Vogan, David; Zierau, Roger Computing the associated cycles of certain Harish-Chandra modules. (English) Zbl 1422.22016 Glas. Mat., III. Ser. 53, No. 2, 275-330 (2018). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kable, Anthony C. The structure of the space of polynomial solutions to the canonical central systems of differential equations on the block Heisenberg groups: a generalization of a theorem of Korányi. (English) Zbl 1410.35268 Tohoku Math. J. (2) 70, No. 4, 523-545 (2018). MSC: 35R03 35C11 22E25 22E47 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Li, Yiyang; Shu, Bin; Ye, Gang Hom-spaces for subregular nilpotent representations of \(\mathfrak{sl}\left ( {n + 1} \right)\). (English) Zbl 1424.17015 J. East China Norm. Univ., Nat. Sci. Ed. 2018, No. 3, 18-24, 45 (2018). MSC: 17B10 17B20 17B30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yiyang; Shu, Bin; Yao, Yufeng Support varieties of baby Verma modules. (English) Zbl 1429.17011 J. Algebra Appl. 17, No. 11, Article ID 1850211, 14 p. (2018). MSC: 17B10 17B08 17B45 17B50 × Cite Format Result Cite Review PDF Full Text: DOI
Kable, Anthony C. A note on the construction of second-order conformally invariant systems on generalized flag manifolds. (English) Zbl 1440.17004 J. Lie Theory 28, No. 4, 969-985 (2018). MSC: 17B10 17B70 22E47 35R03 × Cite Format Result Cite Review PDF Full Text: Link
Lisovyy, O.; Nagoya, H.; Roussillon, J. Irregular conformal blocks and connection formulae for Painlevé V functions. (English) Zbl 1404.33020 J. Math. Phys. 59, No. 9, 091409, 27 p. (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 58B15 14D05 17B68 34M30 34M35 34M40 34M50 34M55 34E05 35Q15 32S40 58K10 81R05 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Zhanqiang Gelfand-Kirillov dimensions of the \(\mathbb Z\)-graded oscillator representations of \(\mathfrak{o}(n,\mathbb C)\) and \(\mathfrak{sp}(2n,\mathbb C)\). (English) Zbl 1411.17014 Commun. Algebra 46, No. 9, 3689-3710 (2018). MSC: 17B10 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xiao, Wei Differential-operator representations of Weyl group and singular vectors in Verma modules. (English) Zbl 1414.17007 Sci. China, Math. 61, No. 6, 1013-1038 (2018). MSC: 17B10 17B20 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Wei; Pei, Yufeng; Zhang, Wei Determinant formula and a realization for the Lie algebra \(W(2,2)\). (English) Zbl 1434.17031 Sci. China, Math. 61, No. 4, 685-694 (2018). MSC: 17B68 17B69 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrev, Vladimir K. Invariant differential operators. Volume 3: Supersymmetry. (English) Zbl 1418.17001 De Gruyter Studies in Mathematical Physics 49. Berlin: De Gruyter (ISBN 978-3-11-052663-9/hbk; 978-3-11-052749-0/ebook). viii, 215 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B37 20G42 17B68 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yan-an; Liu, Genqiang; Nilsson, Jonathan; Zhao, Kaiming Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules. (English) Zbl 1416.17002 J. Algebra 502, 146-162 (2018). MSC: 17B10 17B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Křižka, Libor; Somberg, Petr Conformal Galilei algebras, symmetric polynomials and singular vectors. (English) Zbl 1448.17027 Lett. Math. Phys. 108, No. 1, 1-44 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B80 20B30 35A30 58J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrev, Vladimir; Salom, Igor Positive energy unitary irreducible representations of the superalgebra \(\operatorname{osp}(1|8,\mathbb{R})\). (English) Zbl 1474.17011 Publ. Inst. Math., Nouv. Sér. 102(116), 49-60 (2017). MSC: 17B10 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Jing-Song; Pandžić, Pavle; Vogan, David On classifying unitary modules by their Dirac cohomology. (English) Zbl 1410.22007 Sci. China, Math. 60, No. 11, 1937-1962 (2017). Reviewer: K. Parthasarathy (Chennai) MSC: 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Jing-Song Dirac cohomology in representation theory. (English) Zbl 1385.22005 Callegaro, Filippo (ed.) et al., Perspectives in Lie theory. Selected papers based on the presentations at the INdAM intensive research period, Pisa, Italy, December 2014 – February 2015. Cham: Springer (ISBN 978-3-319-58970-1/hbk; 978-3-319-58971-8/ebook). Springer INdAM Series 19, 299-314 (2017). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Yixin; Sun, Binyong Coincidence of algebraic and smooth theta correspondences. (English) Zbl 1378.22008 Represent. Theory 21, 458-466 (2017). Reviewer: Hung Yean Loke (Singapore) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jing, Nai Huan; Wang, Chunhua Modules of the toroidal Lie algebra \(\widehat{\widehat{\mathfrak{sl}}}_{2}\). (English) Zbl 1373.17026 Bull. Iran. Math. Soc. 43, No. 1, 17-24 (2017). MSC: 17B67 17B10 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Dhillon, Gurbir; Khare, Apoorva Faces of highest weight modules and the universal Weyl polyhedron. (English) Zbl 1420.17007 Adv. Math. 319, 111-152 (2017). MSC: 17B10 17B67 22E47 17B37 20G42 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Keli; Zhang, Yongzheng Some properties of generalized reduced Verma modules over \(\mathbb{Z}\)-graded modular Lie superalgebras. (English) Zbl 1434.17022 Czech. Math. J. 67, No. 3, 699-713 (2017). MSC: 17B50 17B10 17B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Martínez-Villa, Roberto On the homogenized enveloping algebra of the Lie algebra \(s\ell(2,\mathbb{C})\). II. (English) Zbl 1377.16018 Glasg. Math. J. 59, No. 1, 189-219 (2017). Reviewer: Victor Petrogradsky (Brasilia) MSC: 16S30 17B35 17B10 16S37 × Cite Format Result Cite Review PDF Full Text: DOI
Donkin, Stephen Some remarks on the uniqueness of liftings of principal indecomposable modules for infinitesimal subgroups of semisimple groups. (English) Zbl 1370.20035 J. Algebra 475, 361-369 (2017). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20G05 20G10 × Cite Format Result Cite Review PDF Full Text: DOI
Khare, Apoorva Standard parabolic subsets of highest weight modules. (English) Zbl 1415.17008 Trans. Am. Math. Soc. 369, No. 4, 2363-2394 (2017); erratum ibid. 369, No. 4, 3015-3015 (2017). MSC: 17B10 17B20 52B15 52B20 × Cite Format Result Cite Review PDF Full Text: DOI DOI arXiv
Maakestad, H. Jet bundles on projective space. II. (English) Zbl 1374.14017 J. Gen. Lie Theory Appl. 10, No. S2, Article ID 001, 13 p. (2016). MSC: 14F05 14M15 14A22 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Renard, David Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules. (Accouplement d’Euler-Poincaré, indice de Dirac et accouplement elliptique des modules de Harish-Chandra.) (English. French summary) Zbl 1356.22014 J. Éc. Polytech., Math. 3, 209-229 (2016). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barchini, L.; Zierau, Roger Examples of leading term cycles of Harish-Chandra modules. (English) Zbl 1354.22018 J. Lie Theory 26, No. 3, 807-819 (2016). Reviewer: Kyo Nishiyama (Aoyama) MSC: 22E46 14M15 17B08 22E47 20G05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Pogorelsky, Barbara; Vay, Cristian Verma and simple modules for quantum groups at non-abelian groups. (English) Zbl 1393.17027 Adv. Math. 301, 423-457 (2016). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrev, Vladimir K. Invariant differential operators. Volume 1: Noncompact semisimple Lie algebras and groups. (English) Zbl 1348.22001 De Gruyter Studies in Mathematical Physics 35. Berlin: De Gruyter (ISBN 978-3-11-043542-9/hbk; 978-3-11-042764-6/ebook). xii, 408 p. (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22-01 17-01 22Exx 17Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Kobayashi, Toshiyuki; Pevzner, Michael Differential symmetry breaking operators. II: Rankin-Cohen operators for symmetric pairs. (English) Zbl 1342.22029 Sel. Math., New Ser. 22, No. 2, 847-911 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 22E46 11F55 53C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kobayashi, Toshiyuki; Pevzner, Michael Differential symmetry breaking operators. I: General theory and F-method. (English) Zbl 1338.22006 Sel. Math., New Ser. 22, No. 2, 801-845 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 22E46 11F55 53C10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Khare, Apoorva Faces and maximizer subsets of highest weight modules. (English) Zbl 1337.17009 J. Algebra 455, 32-76 (2016). MSC: 17B10 17B20 52B15 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yi-Yang; Shu, Bin; Yao, Yu-Feng On Ext-transfer for reductive Lie algebras. (English) Zbl 1394.17017 Algebr. Represent. Theory 19, No. 1, 7-16 (2016). MSC: 17B10 17B20 17B35 17B50 × Cite Format Result Cite Review PDF Full Text: DOI
Jing, Naihuan; Wang, Chunhua Modules for double affine Lie algebras. (English) Zbl 1397.17028 Front. Math. China 11, No. 1, 89-108 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 17B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reshetikhin, Nicolai; Stokman, Jasper; Vlaar, Bart Boundary quantum Knizhnik-Zamolodchikov equations and fusion. (English) Zbl 1347.81053 Ann. Henri Poincaré 17, No. 1, 137-177 (2016). Reviewer: Ahmed Hegazi (Mansoura) MSC: 81R50 17B37 22E47 16T25 81R12 81Q40 41A17 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehdi, S.; Pandžić, P. Corrigendum to “Dirac cohomology and translation functors”. (English) Zbl 1404.22039 J. Algebra 451, 577-582 (2016). MSC: 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Jia-Jun Derived functor modules, dual pairs and \(\mathcal{U}(\mathfrak{g})^K\)-actions. (English) Zbl 1346.22007 J. Algebra 450, 629-645 (2016). Reviewer: Hung Yean Loke (Singapore) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khare, Apoorva; Tikaradze, Akaki On category \(\mathcal O\) over triangular generalized Weyl algebras. (English) Zbl 1348.16022 J. Algebra 449, 687-729 (2016). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S37 16S32 17B10 18G05 16D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Zhanqiang; Hunziker, Markus The Gelfand-Kirillov dimension of a unitary highest weight module. (English) Zbl 1403.17007 Sci. China, Math. 58, No. 12, 2489-2498 (2015). MSC: 17B10 22E47 22E46 × Cite Format Result Cite Review PDF Full Text: DOI
Williamson, Geordie A reducible characteristic variety in type \(A\). (English) Zbl 1344.22006 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 517-532 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 55N33 14F10 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Jing-Song Dirac cohomology, elliptic representations and endoscopy. (English) Zbl 1344.22005 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 241-276 (2015). Reviewer: Salah Mehdi (Metz) MSC: 22E46 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sinel’shchikov, S. Generic symmetries of the Laurent extension of quantum plane. (English) Zbl 1335.81097 J. Math. Phys. Anal. Geom. 11, No. 4, 333-358 (2015). MSC: 81R50 17B37 17B35 16T05 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Křižka, Libor; Somberg, Petr On the composition structure of the twisted Verma modules for \(\mathfrak{sl} (3,\mathbb{C})\). (English) Zbl 1363.17010 Arch. Math., Brno 51, No. 5, 315-329 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B20 22E47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv