A general framework for the polynomiality property of the structure coefficients of double-class algebras

DOI10.1007/s10801-017-0736-8zbMath1376.05167arXiv1504.01546OpenAlexW2275370454MaRDI QIDQ2358801

Omar Tout

Publication date: 16 June 2017

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

Full work available at URL: https://arxiv.org/abs/1504.01546

zbMATH Keywords

Hecke algebrastructure coefficientscenters of group algebrashyperoctahedral group algebrapolynomiality property

Mathematics Subject Classification ID

Related Items (4)

Unnamed Item ⋮ The algebra of conjugacy classes of the wreath product of a finite group with the symmetric group ⋮ The center of the wreath product of symmetric group algebras ⋮ \(k\)-partial permutations and the center of the wreath product \(\mathcal{S}_k\wr\mathcal{S}_n\) algebra

Cites Work

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• Gaussian fluctuations of Young diagrams and structure constants of Jack characters
• Character-theoretic techniques for near-central enumerative problems
• Near-central permutation factorization and Strahov's generalized Murnaghan-Nakayama rule
• Structure coefficients of the Hecke algebra of \((\mathcal{S}_{2n},\mathcal{B}_n)\)
• Counting unicellular maps on non-orientable surfaces
• Generators of the Hecke algebra of \((S_{2n},B_n)\).
• Zonal polynomials of the real positive definite symmetric matrices
• On the excedance number of colored permutation groups
• Generalized characters of the symmetric group.
• Factorization of permutations into n-cycles
• The projective representations of the hyperoctahedral group
• Spherical functions on the symmetric groups
• Representations of the hyperoctahedral groups
• Factoring \(n\)-cycles and counting maps of given genus
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• The minimal basis for the centre of an Iwahori-Hecke algebra
• Bijective evaluation of the connection coefficients of the double coset algebra
• The centres of symmetric group rings
• The centers of Iwahori-Hecke algebras are filtered
• Counting Cycles in Permutations by Group Characters, With an Application to a Topological Problem
• Decomposing a Permutation into Two Large Cycles: An Enumeration
• Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
• A Frobenius formula for the structure coefficients of double-class algebras of Gelfand pairs
• A Character Theoretic Approach to Embeddings of Rooted Maps in an Orientable Surface of Given Genus
• Character Theory and Rooted Maps in an Orientable Surface of Given Genus: Face-Colored Maps
• Maps in Locally Orientable Surfaces, the Double Coset Algebra, and Zonal Polynomials
• Supercharacters and superclasses for algebra groups
• Symmetric functions in noncommuting variables
• A chromatic symmetric function in noncommuting variables
• The algebra of conjugacy classes in symmetric groups, and partial permutations

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