2 papers
math.RT2011
An application of global Weyl modules of $\lie{sl}_{n+1}[t]$ to invariant theory
Vyjayanthi Chari, Sergey Loktev
We identify $\lie{sl}_{n+1}$--isotypical components of global Weyl modules with natural subspaces in a polynomial ring, and then apply the representation theory of current algebras…
math.RT2009
Double affine Lie algebras and finite groups
Nicolas Guay, David Hernandez, Sergey Loktev
We introduce and begin to study Lie theoretical analogs of symplectic reflection algebras for a finite cyclic group, which we call "cyclic double affine Lie algebra". We focus on t…