Foulkes characters for complex reflection groups

DOI10.1090/S0002-9939-2015-12385-4zbMath1314.05225OpenAlexW1972648191MaRDI QIDQ5255236

Alexander R. Miller

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12385-4

zbMATH Keywords

finite Coxeter groups

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Group actions on combinatorial structures (05E18)

Related Items

On Foulkes characters ⋮ The generalized cluster complex: refined enumeration of faces and related parking spaces ⋮ A generalization of carries process and riffle shuffles ⋮ The characters of symmetric groups that depend only on length ⋮ Topology of arrangements and representation stability. Abstracts from the workshop held January 14--20, 2018 ⋮ Determinantal formula for generalized riffle shuffle ⋮ SB-lattices, distributivity, and Bruhat order on sortable elements. ⋮ Tamari lattices for parabolic quotients of the symmetric group ⋮ Invariant theory for coincidental complex reflection groups ⋮ Eulerian representations for real reflection groups ⋮ Walls in Milnor fiber complexes ⋮ Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity ⋮ Minuscule Doppelgängers, The Coincidental down-Degree Expectations Property, and Rowmotion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative symmetric functions and an amazing matrix
• On Whitney numbers of Dowling lattices
• Combinatorics and topology of complements of hyperplanes
• Unitary reflection groups and cohomology
• Arrangements defined by unitary reflection groups
• Milnor fiber complexes for Shephard groups
• Opérations sur l'homologie cyclique des algèbres commutatives. (Operations on the cyclic homology of commutative algebras)
• Permutation statistics of indexed permutations
• The sign representation for Shephard groups.
• Foulkes characters, Eulerian idempotents, and an amazing matrix
• Reflection arrangements and ribbon representations
• A decomposition of the group algebra of a finite Coxeter group
• Finite Unitary Reflection Groups