A new class of modules for Toroidal Lie Superalgebras

2012/05/16 by S. Eswara Rao, Rao, S. Eswara
Mathematics · #17B67 #17B69 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B67 #msc:17B69

paper · pdf · doi:10.48550/arxiv.1205.3604

To appear in Sao Paulo Journal of Mathematical Sciences

arxiv created 2012/05/16 · arxiv updated 2012/05/17

Abstract

In this paper we construct a large class of modules for toroidal Lie superalgebras. Toroidal Lie superalgebras are universal central extension of G tensor A where G is a basic classical Lie superalgebra and A is a Laurent polynomial ring in sevaral variables. The case where G is simple finite dimensional Lie algebra is included.

Related

• Representations of Toroidal general linear Superalgebra
• Classification of Irreducible integrable modules for toroidal Lie-algebras with finite dimensional weight spaces
• Representations of Toroidal and Full toroidal Lie algebras over polynomial algebras
• Some categories of modules for toroidal Lie algebras
• Irreducible modules of toroidal Lie algebras arising from ϕ_ε-coordinated modules of vertex algebras