Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters

DOI10.1088/1751-8113/47/20/205201zbMath1300.16033arXiv1302.1689OpenAlexW2159547637MaRDI QIDQ4979725

Ronald C. King, Bertfried Fauser, Peter D. Jarvis

Publication date: 19 June 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1689

zbMATH Keywords

charactersclassical groupsbranching rulesgraded Hopf algebrasrepresentations of groupstensor products of representationsHopf algebra deformationsFrobenius pairingshash productsLaplace pairings

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representation theory for linear algebraic groups (20G05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Classical groups (11E57) Character groups and dual objects (43A40) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (3)

The Heisenberg product: from Hopf algebras and species to symmetric functions ⋮ Generalized stability of Heisenberg coefficients ⋮ Algebraic random walks in the setting of symmetric functions

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