Denominators for the Poincaré series of invariants of matrices with involution.

DOI10.1007/BF02787404zbMath1042.16011MaRDI QIDQ1812252

Ron M. Adin, Allan Berele

Publication date: 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symplectic groupsorthogonal groupsPoincaré seriestrace ringsalgebras of polynomial invariantsgeneric matrices with involution

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (2)

Asymptotics in cocharacters of simple algebras with involution. ⋮ On orthogonal and special orthogonal invariants of a single matrix of small order

Cites Work

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• Invariants and the ring of generic matrices
• The Poincaré series of the ring of 2x2 generic matrices
• Explicit rational forms for the Poincaré series of the trace rings of generic matrices
• The invariant theory of \(n\times n\) matrices
• Matrices with involution and invariant theory
• Combinatorics and commutative algebra.
• Denominators for the Poincaré series of invariants of small matrices
• Functional Equations for Character Series Associated with n × n Matrices
• Glxgl- representations and ∗-polynomial identities
• Trace rings of generic 2 by 2 matrices
• The ring of invariants of matrices

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