Deformed Kac-Moody algebras and their representations

DOI10.1016/J.JALGEBRA.2008.01.009zbMath1192.17011OpenAlexW2020221683MaRDI QIDQ934071

Jianbo Liu, Kaiming Zhao

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.01.009

zbMATH Keywords

irreducible modulehighest weight moduledeformed Kac-Moody algebrainvariant symmetric bilinear form

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (2)

A Class of Solvable Lie Algebras with Triangular Decompositions ⋮ On the semisimplicity of the cyclotomic quiver Hecke algebra of type 𝐶

Cites Work

• Classification of finite-dimensional solvable Lie algebras with nondegenerate invariant bilinear forms
• A class of non-degenerate solvable Lie algebras and their derivations
• Indefinite Kac-Moody algebras of classical type
• Isomorphisms of Upper Cartan-Matrix Lie Algebras
• Introduction to Lie Algebras and Representation Theory
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