A character relationship on \(\mathrm{GL}_n(\mathbb C)\).

DOI10.1007/s11856-015-1273-6zbMath1346.20065arXiv1402.5505OpenAlexW2265910617MaRDI QIDQ273093

Dipendra Prasad

Publication date: 21 April 2016

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

Full work available at URL: https://arxiv.org/abs/1402.5505

zbMATH Keywords

general linear groupsirreducible representationsexterior powerssymmetric powersCoxeter conjugacy classrestrictions of characterssemi-simple algebraic groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (4)

Factorization of classical characters twisted by roots of unity ⋮ Factorization of classical characters twisted by roots of unity (extended abstract) ⋮ Universal characters twisted by roots of unity ⋮ A character relationship between symmetric group and hyperoctahedral group

Cites Work

• Half the sum of positive roots, the Coxeter element, and a theorem of Kostant
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents
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