The combinatorics of symmetric functions and permutation enumeration of the hyperoctahedral group

DOI10.1016/0012-365X(95)00326-RzbMath0881.05119MaRDI QIDQ1356523

Desiree A. Beck

Publication date: 15 January 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\alpha\)-tabloids\(B_ n\)-decedances\(B_ n\)-descents\(B_ n\)-symmetric functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items

132-avoiding two-stack sortable permutations, Fibonacci numbers, and Pell numbers ⋮ Permutation enumeration of the symmetric group and the combinatorics of symmetric functions ⋮ The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues ⋮ Generating functions for alternating descents and alternating major index ⋮ Descents, inversions, and major indices in permutation groups ⋮ Symmetric functions and generating functions for descents and major indices in compositions ⋮ Enumeration of \(m\)-tuples of permutations and a new class of power bases for the space of symmetric functions ⋮ New equivalences for pattern avoiding involutions

Cites Work

• Unnamed Item
• \(\lambda\)-rings and the representation theory of the symmetric group
• On the eigenvalues of representations of reflection groups and wreath products
• Brick tabloids and the connection matrices between bases of symmetric functions
• The projective representations of the hyperoctahedral group
• Permutation enumeration symmetric functions, and unimodality
• Signed permutation statistics and cycle type
• Descents and one-dimensional characters for classical Weyl groups
• Permutation enumeration of the symmetric group and the combinatorics of symmetric functions
• The combinatorics of transition matrices between the bases of the symmetric functions and the \(B_ n\) analogues
• A combinatorial interpretation of the inverse kostka matrix
• On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy

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