Noncommutative classical invariant theory

DOI10.1007/BF02384335zbMath0807.20015MaRDI QIDQ5905387

Torbjörn Tambour

Publication date: 25 June 1992

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

generating functionscovariantsHilbert seriesirreducible modulessymbolic method\(S_ n\)- modulesCayley-Sylvester theoremHermite reciprocityinvariants of \(\text{SL}(2,K)\)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50) Trace rings and invariant theory (associative rings and algebras) (16R30)

Related Items (5)

On the representation theory of SL(2) ⋮ A noncrossing basis for noncommutative invariants of \(SL(2, \mathbb C)\) ⋮ Unnamed Item ⋮ S-algebras and commutative rings ⋮ Reduction of permutation-invariant polynomials. A noncommutative case study

Cites Work

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• Noncommutative invariants of finite groups and Noetherian varieties
• Noncommutative invariants of reductive groups
• Hilbert series of fixed free algebras and noncommutative classical invariant theory
• Algebras of invariants of free algebras
• Some formulas in invariant theory
• Invariant theory
• Poincare series and a problem of S. Montgomery
• Noncommutative classical invariant theory

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