An application of global Weyl modules of \liesl_n+1[t] to invariant theory

2011/04/20 by Vyjayanthi Chari, Chari, Vyjayanthi, Sergey Loktev +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.CO #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1104.4048

arxiv created 2011/04/20 · arxiv updated 2011/04/21

Abstract

We identify \liesl_n+1--isotypical components of global Weyl modules with natural subspaces in a polynomial ring, and then apply the representation theory of current algebras to classical problems in invariant theory.

Related

• Global Weyl modules for thin Lie algebras are finite-dimensional
• Weyl modules for toroidal Lie algebras
• Global Weyl modules for the twisted loop algebra
• Weyl modules for equivariant map Lie superalgebras
• Weyl modules and Levi subalgebras