Invariant functions on matrices

DOI10.1017/S0305004100075757zbMath0826.20015MaRDI QIDQ5288360

Stephen Donkin

Publication date: 14 November 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsrings of invariantsYoung subgroupsgraded ringscoordinate ringstrace functionsgeneralized Schur functionscharacter groupsring of symmetric functionscharacter theory of symmetric groupscharacteristic isomorphism

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Actions of groups on commutative rings; invariant theory (13A50) Frobenius induction, Burnside and representation rings (19A22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

The Algebra of Invariants of 3 × 3 Matrices Over a Field of Arbitrary Characteristic ⋮ Some relative character theory ⋮ Non-commutative Edmonds' problem and matrix semi-invariants ⋮ Relations between \(O(n)\)-invariants of several matrices. ⋮ Matrix identities with forms. ⋮ Centralizers in free associative algebras and generic matrices ⋮ Algorithms for orbit closure separation for invariants and semi-invariants of matrices ⋮ Free relations for matrix invariants in the modular case ⋮ Generalized symmetric functions and invariants of matrices ⋮ Polynomial degree bounds for matrix semi-invariants ⋮ INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS I ⋮ INVARIANTS OF MIXED REPRESENTATIONS OF QUIVERS II: DEFINING RELATIONS AND APPLICATIONS ⋮ Invariants of several matrices ⋮ Tilting modules, symmetric functions, and the module structure of the free Lie algebra ⋮ Weyl's polarization theorem in positive characteristic

Cites Work

• Unnamed Item
• On Schur algebras and related algebras. II
• The invariant theory of \(n\times n\) matrices
• The Characters of the Finite General Linear Groups