Spherical functions on finite groups

DOI10.1016/0021-8693(74)90111-2zbMath0293.20006OpenAlexW2018886011MaRDI QIDQ1212086

Dennis Travis

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90111-2

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Applications of group representations to physics and other areas of science (20C35)

Related Items (14)

A Class of Schur Algebras ⋮ Generalized characters of the symmetric group. ⋮ Fourier analysis of subgroup conjugacy invariant functions on finite groups ⋮ Theorems on the index of a symmetry class of tensors ⋮ A note on spherical function-induced subgroups ⋮ The Glauberman correspondence and stable multiplicity-free subgroups. ⋮ Spherical Bessel functions of \(\text{GL}_2(\mathbb F_{q^2})\). ⋮ Functional equation for spherical functions on finite groups ⋮ Spherical functions on the symmetric groups ⋮ Spherical functions on wreath products ⋮ Applications of spherical functions in multilinear algebra ⋮ The structure of higher degree symmetry classes of tensors II ⋮ Spherical functions and immanants ⋮ Irreducible representations of the full linear group

Cites Work

• Unnamed Item
• S-rings and the irreducible representations of finite groups
• S-Ringe und verallgemeinerte Charaktere auf endlichen Gruppen
• Multiplicity free representations of finite groups
• Primitive Idempotents in Group Algebras
• Symmetry principles in old and new physics
• A Theory of Spherical Functions. I
• Symmetric and Anti Symmetric Kronecker Squares and Intertwining Numbers of Induced Representations of Finite Groups

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