Identities of representations of nilpotent lie algebras

DOI10.1080/00927879708825976zbMath0879.17001OpenAlexW2019444502MaRDI QIDQ4351121

Vesselin Drensky

Publication date: 8 January 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825976

zbMATH Keywords

nilpotent Lie algebrasvarieties of Lie algebrasrepresentations of Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Related Items

Poisson PI algebras ⋮ Weak polynomial identities for the matrix algebra of order two ⋮ Unnamed Item ⋮ Graded monomial identities and almost non-degenerate gradings on matrices ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\) ⋮ Finite generation of invariants of finite linear groups on relatively free algebras ⋮ Graded identities for Kac-Moody and Heisenberg algebras with the Cartan grading ⋮ Ideals of identities of representations of nilpotent lie algebras

Cites Work

• Polynomial identities for 2\(\times 2\) matrices
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Gesetze in Ringen. I
• Abelian-By-Nilpotent Varities of Lie Algebras
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