Gelfand-Tsetlin theory for rational Galois algebras

DOI10.1007/s11856-020-2048-2zbMath1481.16029arXiv1801.09316OpenAlexW3045511981WikidataQ122111981 ScholiaQ122111981MaRDI QIDQ2204402

P. Zadunaisky, Dimitar Grantcharov, Luis Enrique Ramirez, Vyacheslav M. Futorny

Publication date: 15 October 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09316

zbMATH Keywords

Gelfand-Tsetlin modulesBGG differential operatorsPostnikov-Stanley polynomials

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Rings of differential operators (associative algebraic aspects) (16S32) Universal enveloping algebras of Lie algebras (16S30) Associative rings and algebras arising under various constructions (16S99)

Related Items (7)

Gelfand-Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions ⋮ Twisting functors and Gelfand–Tsetlin modules over semisimple Lie algebras ⋮ Lie algebra actions on module categories for truncated shifted yangians ⋮ Gelfand-Tsetlin representations of finite \(W\)-algebras ⋮ Representations of Lie algebras ⋮ Algebras of invariant differential operators ⋮ Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)

Uses Software

• MathOverflow

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