12 citations · 31 across the 11 of their papers we have counts for
12 papers
Identities of the multi-variate independence polynomials from heaps theory
Deniz Kus, Kartik Singh, R. Venkatesh
We study and derive identities for the multi-variate independence polynomials from the perspective of heaps theory. Using the inversion formula and the combinatorics of partially c…
Quantum affine algebras, graded limits, and flags
Matheus Brito, Vyjayanthi Chari, Deniz Kus +1
In this survey, we review some of the recent connections between the representation theory of (untwisted) quantum affine algebras and the representation theory of current algebras.…
A note on the fusion product decomposition of Demazure modules
R. Venkatesh, Sankaran Viswanath
We settle the fusion product decomposition theorem for higher-level affine Demazure modules for the cases and , thus completing the main…
On tensor products of irreducible integrable representations
Shifra Reif, R. Venkatesh
We consider integrable category representations of Borcherds--Kac--Moody algebras whose Cartan matrix is finite dimensional, and determine the necessary and sufficien…
Borel-de Siebenthal theory for affine reflection systems
Deniz Kus, R. Venkatesh
We develop a Borel-de Siebenthal theory for affine reflection systems by classifying their maximal closed subroot systems. Affine reflection systems (introduced by Loos and Neher)…
Maximal closed subroot systems of real affine root systems
Krishanu Roy, R. Venkatesh
We completely classify and give explicit descriptions of the maximal closed subroot systems of real affine root systems. As an application we describe a procedure to get the classi…
Twisted Demazure modules, fusion product decomposition and twisted Q--systems
Deniz Kus, R. Venkatesh
In this paper, we introduce a family of indecomposable finite-dimensional graded modules for the twisted current algebras. These modules are indexed by an -tuple of partitio…
A Steinberg type decomposition theorem for higher level Demazure modules
Vyjayanthi Chari, Peri Shereen, R. Venkatesh +1
We study Demazure modules which occur in a level irreducible integrable representation of an affine Lie algebra. We also assume that they are stable under the action of the…
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…
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…
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…
Unique factorization of tensor products for Kac-Moody algebras
R. Venkatesh, Sankaran Viswanath
We consider integrable, category O-modules of indecomposable symmetrizable Kac-Moody algebras. We prove that unique factorization of tensor products of irreducible modules holds in…