Highest weight modules for affine Lie superalgebras

DOI10.4171/rmi/1203zbMath1475.17042arXiv1804.02563OpenAlexW3044017473MaRDI QIDQ1998710

Lucas Calixto, Vyacheslav M. Futorny

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02563

zbMATH Keywords

highest weight modulesVerma modulesaffine Lie superalgebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (6)

Classification of bases of twisted affine root supersystems ⋮ Representations of twisted affine Lie superalgebras--a recognition theorem ⋮ Finite weight modules over twisted affine Lie superalgebras ⋮ Non-standard Verma type modules for \(\mathfrak{q}(n)^{(2)}\) ⋮ Tight irreducible finite weight modules over twisted affine Lie superalgebras ⋮ Representations of affine Lie superalgebras and their quantization in type \(A\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II
• Verma modules induced from nonstandard Borel subalgebras
• Classification of finite simple Lie conformal superalgebras.
• Integrable modules for affine Lie superalgebras
• Parabolic sets of roots
• Imaginary Verma Modules for Affine Lie Algebras
• On the structure of weight modules
• Integrable highest weight modules over affine superalgebras and Appell's function

This page was built for publication: Highest weight modules for affine Lie superalgebras