I. B. Penkov, “Characters of typical irreducible finite-dimensional $\mathfrak{q}(n)$-modules”, Funktsional. Anal. i Prilozhen., 20:1 (1986), 37–45; Funct. Anal. Appl., 20:1 (1986), 30

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Funktsional'nyi Analiz i ego Prilozheniya, 1986, Volume 20, Issue 1, Pages 37–45 (Mi faa1248)

This article is cited in 33 scientific papers (total in 33 papers)

Characters of typical irreducible finite-dimensional $\mathfrak{q}(n)$-modules

I. B. Penkov

Full-text PDF (1143 kB) Citations (33)

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Received: 23.04.1985

English version:
Functional Analysis and Its Applications, 1986, Volume 20, Issue 1, Pages 30–37
DOI: https://doi.org/10.1007/BF01077312

Bibliographic databases:

Document Type: Article

UDC: 519.46

Language: Russian

Citation: I. B. Penkov, “Characters of typical irreducible finite-dimensional $\mathfrak{q}(n)$-modules”, Funktsional. Anal. i Prilozhen., 20:1 (1986), 37–45; Funct. Anal. Appl., 20:1 (1986), 30–37

Citation in format AMSBIB

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\pages 37--45

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\jour Funct. Anal. Appl.

\yr 1986

\vol 20

\issue 1

\pages 30--37

\crossref{https://doi.org/10.1007/BF01077312}

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Linking options:

https://www.mathnet.ru/eng/faa1248

https://www.mathnet.ru/eng/faa/v20/i1/p37

This publication is cited in the following 33 articles:

Takuma Hayashi, “Classification of irreducible representations of affine group superschemes and the division superalgebras of their endomorphisms”, Math. Z., 309:2 (2025)
M. Gorelik, A. Sherman, “On the Duflo-Serganova functor for the queer Lie superalgebra”, Advances in Mathematics, 441 (2024), 109552
DAVID M. GALBAN, DANIEL K. NAKANO, “ON SHEAF COHOMOLOGY FOR SUPERGROUPS ARISING FROM SIMPLE CLASSICAL LIE SUPERALGEBRAS”, Transformation Groups, 28:3 (2023), 1101
Ivan Penkov, Crystal Hoyt, Springer Monographs in Mathematics, Classical Lie Algebras at Infinity, 2022, 187
Lucas Calixto, Ivan Penkov, “Integrable bounded weight modules of classical Lie superalgebras at infinity”, Journal of Pure and Applied Algebra, 226:2 (2022), 106847
Nikolay Grantcharov, Vera Serganova, “Extension Quiver for Lie Superalgebra $\mathfrak{q}(3)$”, SIGMA, 16 (2020), 141, 32 pp.
T. A. Grigorev, M. L. Nazarov, “Analog formuly Perelomova–Popova dlya superalgebry Li $\mathfrak{q}(N)$”, Funkts. analiz i ego pril., 53:4 (2019), 79–84
Jonathan Brundan, Nicholas Davidson, “Type C blocks of super category $\mathcal {O}$”, Math. Z., 293:3-4 (2019), 867
Chih-Whi Chen, Shun-Jen Cheng, “Quantum group of type A and representations of queer Lie superalgebra”, Journal of Algebra, 473 (2017), 1
Shun-Jen Cheng, Jae-Hoon Kwon, Weiqiang Wang, “Character Formulae for Queer Lie Superalgebras and Canonical Bases of Types A/C”, Commun. Math. Phys., 352:3 (2017), 1091
Shun-Jen Cheng, “Supercharacters of queer Lie superalgebras”, Journal of Mathematical Physics, 58:6 (2017)
Chih-Whi Chen, “Reduction method for representations of queer Lie superalgebras”, Journal of Mathematical Physics, 57:5 (2016)
Shun-Jen Cheng, Jae-Hoon Kwon, “Finite-Dimensional Half-Integer Weight Modules over Queer Lie Superalgebras”, Commun. Math. Phys., 346:3 (2016), 945
Lucas Calixto, Adriano Moura, Alistair Savage, “Equivariant Map Queer Lie Superalgebras”, Can. j. math., 68:2 (2016), 258
Maria Gorelik, Dimitar Grantcharov, Springer INdAM Series, 7, Advances in Lie Superalgebras, 2014, 67
Maria Gorelik, Dimitar Grantcharov, “Bounded Highest Weight Modules Over 𝔮(n)”, International Mathematics Research Notices, 2014:22 (2014), 6111
David Hill, Jonathan R. Kujawa, Joshua Sussan, “Degenerate affine Hecke–Clifford algebras and type Q Lie superalgebras”, Math. Z., 268:3-4 (2011), 1091
Weiqiang Wang, Lei Zhao, “Representations of Lie superalgebras in prime characteristic II: The queer series”, Journal of Pure and Applied Algebra, 215:10 (2011), 2515
M. Gorelik, “Shapovalov determinants of Q-type Lie superalgebras”, International Mathematics Research Papers, 2010
Volodymyr Mazorchuk, “Classification of simple $\mathfrak{q}_2$-supermodules”, Tohoku Math. J. (2), 62:3 (2010)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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