Character formulae from Hermann Weyl to the present

DOI10.1017/CBO9780511721410.012zbMath1230.17005OpenAlexW2294043221MaRDI QIDQ3545939

Jens Carsten Jantzen

Publication date: 11 December 2008

Published in: Groups and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/cbo9780511721410.012

zbMATH Keywords

Kazhdan-Lusztig polynomialssemisimple algebraic groupsgeneralized Verma modulesWeyl's character formulacharacter formula for quantum groupscharacter formula of Kac for symmetrizable Kac-Moody algebrasLie algebras over fields of prime characteristic

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) History of nonassociative rings and algebras (17-03)

Related Items (5)

Schubert calculus and torsion explosion ⋮ The conformal characters ⋮ Algebraic representations and constructible sheaves ⋮ Koszul duality for Kac–Moody groups and characters of tilting modules ⋮ On Hopf algebras with triangular decomposition

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