Signatures of invariant Hermitian forms on irreducible highest-weight modules

DOI10.1215/00127094-2008-004zbMath1138.22010arXivmath/0601512OpenAlexW2139043475MaRDI QIDQ2481523

Wai Ling Yee

Publication date: 10 April 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601512

zbMATH Keywords

singularityHermitian formKazhdan-Lusztig polynomialhighest weight module

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (8)

Duality for Ext-groups and extensions of discrete series for graded Hecke algebras ⋮ Signature characters of highest-weight representations of \(U_q(\mathfrak {gl}_n)\) ⋮ Signature characters of invariant Hermitian forms on irreducible Verma modules and Hall-Littlewood polynomials ⋮ The Jantzen conjecture for singular characters ⋮ Signatures of representations of Hecke algebras and rational Cherednik algebras ⋮ The Dunkl weight function for rational Cherednik algebras ⋮ Corrigendum to: ``Signatures of invariant Hermitian forms on irreducible highest weight modules ⋮ Relating signed and classical Kazhdan-Lusztig polynomials

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