Degenerate group of type \(A\): representations and flag varieties

DOI10.1007/s10688-014-0046-zzbMath1336.17005arXiv1202.5848OpenAlexW1999489302MaRDI QIDQ482594

Evgeny Feigin

Publication date: 5 January 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5848

zbMATH Keywords

degenerationflag varietysimple Lie groupsimple Lie algebraPBW filtrationhighest weight module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Classical groups (algebro-geometric aspects) (14L35) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

PBW degenerations, quiver Grassmannians, and toric varieties ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ Degenerate coordinate rings of flag varieties and Frobenius splitting

Cites Work

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• Degenerate flag varieties of type A: Frobenius splitting and BW theorem
• \({\mathbb{G}_a^M}\) degeneration of flag varieties
• PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
• Kac-Moody groups, their flag varieties and representation theory
• A remarkable contraction of semisimple Lie algebras
• Degenerate flag varieties and the median Genocchi numbers
• One-parameter contractions of Lie-Poisson brackets
• Symplectic Degenerate Flag Varieties
• Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$
• PBW Filtration and Bases for Symplectic Lie Algebras

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