Finite weight modules over twisted affine Lie superalgebras

DOI10.1016/j.jalgebra.2020.08.008zbMath1475.17015arXiv1903.04861OpenAlexW3082428767WikidataQ115350438 ScholiaQ115350438MaRDI QIDQ2201078

Malihe Yousofzadeh

Publication date: 25 September 2020

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

Full work available at URL: https://arxiv.org/abs/1903.04861

zbMATH Keywords

finite weight modulestwisted affine Lie superalgebras

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)

Related Items (3)

Representations of twisted affine Lie superalgebras--a recognition theorem ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Tensor product representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended affine Lie superalgebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Integrable representations of twisted affine Lie algebras
• Irreducible graded \(A_ 1^{(1)}\)-modules
• The core of an extended affine Lie superalgebra (a characterization)
• Irreducible non-dense \(A_ 1^{(1)}\)-modules
• Classification of loop modules with finite dimensional weight spaces
• Highest weight modules for affine Lie superalgebras
• Classification of Harish-Chandra Modules for Current Algebras
• Integrable modules for affine Lie superalgebras
• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• Parabolic sets of roots
• A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
• Irreducible Representations of A n with a 1-Dimensional Weight Space
• Verma type modules of level zero for affine Lie algebras
• A classification of contragredient lie superalgebras of finite growth
• On the structure of weight modules
• Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras

This page was built for publication: Finite weight modules over twisted affine Lie superalgebras