Noncommutative classical invariant theory

DOI10.1017/S0027763000001197zbMath0675.16003OpenAlexW1937644046MaRDI QIDQ5903977

Yasuo Teranishi

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000001197

zbMATH Keywords

functional equationfree algebrahomogeneous componentstensor algebranoncommutative invariantsfree generating setskew-symmetric tensorsinvariants of classical groups

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Graded rings and modules (associative rings and algebras) (16W50) Exterior algebra, Grassmann algebras (15A75) Representations of infinite symmetric groups (20C32)

Related Items (5)

A noncrossing basis for noncommutative invariants of \(SL(2, \mathbb C)\) ⋮ Unnamed Item ⋮ Noncommutative classical invariant theory ⋮ Young diagrammatic methods in non-commutative invariant theory ⋮ Reduction of permutation-invariant polynomials. A noncommutative case study

Cites Work

• Unnamed Item
• Hilbert series of fixed free algebras and noncommutative classical invariant theory
• Poincare series and a problem of S. Montgomery
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Combinatorics and commutative algebra

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