On Schur's \(Q\)-functions and the primitive idempotents of a commutative Hecke algebra

DOI10.1023/A:1022485331028zbMath0780.05056MaRDI QIDQ686010

John R. Stembridge

Publication date: 16 January 1994

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

representationGelfand pairssymmetric groupprimitive idempotentssymmetric functionsHecke algebrazonal polynomialscharacter tablespin representations

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Symmetric groups (20B30)

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Cites Work

• Characters of projective representations of symmetric groups
• Shifted tableaux and the projective representations of symmetric groups
• Zonal polynomials and domino tableaux
• Some combinatorial properties of Jack symmetric functions
• Nonintersecting paths, pfaffians, and plane partitions
• THE TENSOR ALGEBRA OF THE IDENTITY REPRESENTATION AS A MODULE OVER THE LIE SUPERALGEBRAS $ \mathfrak{Gl}(n,\,m)$ AND $ Q(n)$
• Projective Representations of Generalized Symmetric Groups Using Psh-Algebras
• The Spin Representation of the Symmetric Group
• Hall-Littlewood symmetric functions and the BKP equation
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