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math.RT2013★ 2 cited
Fusion Product Structure of Demazure Modules
R. Venkatesh
Let g be a finite-dimensional complex simple Lie algebra. Fix a non-negative integer l, we consider the set of dominant weights λ of g such that lΛ_0+λ is a dominant weight for the…
math.RT2013★ 5 cited
Demazure modules, Fusion products and Q--systems
Vyjayanthi Chari, R. Venkatesh
In this paper, we introduce a family of indecomposable finite--dimensional graded modules for the current algebra associated to a simple Lie algebra. These modules are indexed by a…
math.RT2013
Chromatic polynomials of graphs from Kac-Moody algebras
R. Venkatesh, Sankaran Viswanath
We give a new interpretation of the chromatic polynomial of a simple graph G in terms of the Kac-Moody Lie algebra with Dynkin diagram G. We show that the chromatic polynomial is e…