Universal induced characters and restriction rules for the classical groups

DOI10.1017/S0027763000001847zbMath0697.22017MaRDI QIDQ3473302

Yasuo Teranishi

Publication date: 1990

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

zbMATH Keywords

Schur functionsinvariant theorygeneral linear groupLittlewood-Richardson coefficientscharacter formulaFrobenius reciprocityrestriction rulescompact subgroupfinite dimensional representationuniversal induced characters

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Semisimple Lie groups and their representations (22E46) Induced representations for locally compact groups (22D30)

Related Items (3)

Trivial module for ortho-symplectic Lie superalgebras and Littlewood's formula ⋮ Young diagrammatic methods in non-commutative invariant theory ⋮ On the ring of simultaneous invariants for the Gleason-MacWilliams group

Cites Work

• Unnamed Item
• Invariants and the ring of generic matrices
• Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
• The invariant theory of \(n\times n\) matrices
• Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
• The Hilbert series of rings of matrix concomitants
• Invariants of finite groups and their applications to combinatorics
• Modification Rules and Products of Irreducible Representations of the Unitary, Orthogonal, and Symplectic Groups

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