Applications of spherical functions in multilinear algebra

DOI10.1016/0024-3795(78)90032-0zbMath0375.15005OpenAlexW2073761213WikidataQ128081428 ScholiaQ128081428MaRDI QIDQ1246010

Russell Merris

Publication date: 1978

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(78)90032-0

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Representation theory for linear algebraic groups (20G05) Multilinear algebra, tensor calculus (15A69)

Related Items (7)

Theorems on the index of a symmetry class of tensors ⋮ A note on spherical function-induced subgroups ⋮ The structure of higher degree symmetry classes of tensors II ⋮ Linearly independent permutation characters afforded by action on tensor spaces ⋮ Spherical functions and immanants ⋮ Irreducible representations of the full linear group ⋮ Indices and nonzero decomposable elements of a symmetry class of tensors

Cites Work

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• Spherical functions on finite groups
• Two problems involving Schur functions
• Generalized Schur functions
• Monomial irreducible characters of the symmetric group
• Functional equation for spherical functions on finite groups
• Relations among generalized matrix functions
• Spherical functions on the symmetric groups
• Inequalities for generalized matrix functions based on arbitrary characters
• An identity for matrix functions
• An explicit isomorphism with applications to inequalities for matrix functions
• On centralizer rings and characters of representations of finite groups
• A class of representations of the full linear group
• Inequalities for matrix functions
• Spherical Functions on a Semisimple Lie Group, I
• A Class of Representations of the Full Linear Group. II
• The irreducibility of K(A)^∗
• Orthogonal decompositions of tensor spaces
• Primitive Idempotents in Group Algebras
• Generalized Matrix Functions
• A Dominance Theorem for Partitioned Hermitian Matrices
• Tensor Algebra and Young's Symmetry Operators
• A Theory of Spherical Functions. I

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