Crystal structures arising from representations of 𝐺𝐿(𝑚|𝑛)

DOI10.1090/S1088-4165-06-00219-6zbMath1196.17011arXivmath/0311251OpenAlexW1583348440MaRDI QIDQ5445058

Jonathan R. Kujawa

Publication date: 28 February 2008

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311251

zbMATH Keywords

modular representationscategory \(\mathcal{O}\)supergrouplinkage principleodd reflections

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Modular representations and characters (20C20) Algebraic combinatorics (05E99)

Related Items

The center of \(\mathrm{Dist}(\mathrm{GL}(m| n))\) in positive characteristic, The primitive spectrum for \(\mathfrak{gl}(m|n)\), Jantzen filtration of Weyl modules for general linear supergroups, Cohomological finite-generation for finite supergroup schemes, Generalized trace and modified dimension functions on ribbon categories, Homological invariants in category $\mathcal {O}$ for the general linear superalgebra, Super duality and Kazhdan-Lusztig polynomials, Blocks for the general linear supergroup \(\mathrm{GL}(m|n)\), Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛), Representation theory of symmetric groups and related Hecke algebras, Odd Singular Vector Formula for General Linear Lie Superalgebras, The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras

Cites Work

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