Left-symmetric algebras for 𝔤𝔩(𝔫)

DOI10.1090/S0002-9947-99-02315-6zbMath1113.17301OpenAlexW1488541737MaRDI QIDQ4243635

Oliver Baues

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02315-6

zbMATH Keywords

representationssemisimple algebraic groupsalgebra of invariantsLie-admissible algebrasleft symmetric algebras

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Lie algebras of linear algebraic groups (17B45) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items

Graded Left Symmetric Pseudo-algebras, Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators, A NOTE ON ÉTALE REPRESENTATIONS FROM NILPOTENT ORBITS, A commutative algebra approach to multiplicative Hom-Lie algebras, Left-symmetric superalgebras on special linear Lie superalgebras, On the right-symmetric algebras with a unital matrix subalgebra, Left-symmetric algebras, or pre-Lie algebras in geometry and physics, Crystallographic actions on Lie groups and post-Lie algebra structures, Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion, Étale representations for reductive algebraic groups with one-dimensional center, Rota-Baxter operators on 3-dimensional Lie algebras and the classical \(R\)-matrices, Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras, A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY, Étale representations for reductive algebraic groups with factors \(\mathrm{Sp}_n\) or \(\mathrm{SO}_n\), Rigidity results for Lie algebras admitting a post-Lie algebra structure

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