Constructive noncommmutative invariant theory

DOI10.1007/s00031-021-09643-2zbMath1490.17019arXiv1811.06342OpenAlexW3131903620MaRDI QIDQ2040589

Matyas Domokos, Vesselin Drensky

Publication date: 14 July 2021

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06342

zbMATH Keywords

Schur functionsuniversal enveloping algebrassymmetric functionsinvariant theoryLie nilpotent associative algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ On the \(\mathrm{GL}(n)\)-module structure of Lie nilpotent associative relatively free algebras ⋮ Noncommutative invariant theory of symplectic and orthogonal groups

Cites Work

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• THE CONSTRUCTIVE THEORY OF INVARIANTS
• A Hilbert-Nagata theorem in noncommutative invariant theory
• SOME QUESTIONS IN THE THEORY OF VECTOR INVARIANTS
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