A generalization of Weyl's denominator formulas for the classical groups.

DOI10.1016/j.jalgebra.2006.05.026zbMath1108.20045OpenAlexW2012041484WikidataQ112881494 ScholiaQ112881494MaRDI QIDQ855744

Masahiko Ito, Kazuhiko Koike

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.05.026

zbMATH Keywords

Schur functionssymplectic groupsorthogonal groupsYoung diagramsspin groupsVandermonde determinantscharacters of general linear groupsWeyl denominators

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05)

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Cites Work

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• A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\)
• Representations of spinor groups and the difference characters of \(SO(2n)\)
• BC_n-type Jackson integral generalized from Gustafson'sC_n-type sum
• Introduction to Lie Algebras and Representation Theory