A survey of equivariant map algebras with open problems

Abstract

This paper presents an overview of the current state of knowledge in the field of equivariant map algebras and discusses some open problems in this area.

18 pages. v2: Minor corrections

References in corpus (4)

• Local Weyl modules for equivariant map algebras with free abelian group actions
• Lie Group Structures on Symmetry Groups of Principal Bundles
• Global Weyl modules for equivariant map algebras
• Finite dimensional modules for multiloop superalgebra of type A(m,n) and C(m)

Cited by in corpus (8)

• Global Weyl modules for equivariant map algebras
• Invariant polynomials on truncated multicurrent algebras
• Weyl modules for Lie superalgebras
• Equivariant map queer Lie superalgebras
• Irreducible modules for equivariant map superalgebras and their extensions
• Bases for local Weyl modules for the hyper and truncated current ${\mathfrak{sl}}_2$-algebras
• Polynomial representations of $C^{\ast }$-algebras and their applications
• On Truncated Weyl Modules