On the Tits-Kantor-Koecher construction of unital Jordan bimodules

DOI10.1016/j.jalgebra.2017.03.002zbMath1418.17070arXiv1502.07407OpenAlexW2964081764MaRDI QIDQ527791

Iryna Kashuba, Vera V. Serganova

Publication date: 12 May 2017

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

Full work available at URL: https://arxiv.org/abs/1502.07407

zbMATH Keywords

Lie algebrasrepresentation theoryJordan algebrasKantor-Koecher-Tits constructionrepresentation type of algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Jordan algebras (17C10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (6)

Representations of simple Jordan superalgebras ⋮ Integrable representations of root-graded Lie algebras ⋮ On structure and TKK algebras for Jordan superalgebras ⋮ On the Tits-Kantor-Koecher construction of unital Jordan bimodules ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ Unified products for Jordan algebras. Applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Tits-Kantor-Koecher construction of unital Jordan bimodules
• Representation type of Jordan algebras
• Representations of an exceptional Jordan superalgebra
• Blocks of tame representation type and related algebras
• Infinitesimally central extensions of Chevalley groups
• Classification of linearly compact simple Jordan and generalized Poisson superalgebras
• Graded simple Jordan superalgebras of growth one
• The Tits–Kantor–Koecher Construction and Birepresentations of the Jordan Superpair SH(1,n)
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Simple jordan superpairs
• Tame tree algebras
• Representations of finite dimensional jordan superalgebras of poisson brackets
• Representation theory of Jordan superalgebras I
• Imbedding of Jordan Algebras into Lie Algebras. I
• Wild two-point algebras

This page was built for publication: On the Tits-Kantor-Koecher construction of unital Jordan bimodules