11 citations · 27 across the 7 of their papers we have counts for
7 papers
A relationship between Gelfand-Tsetlin bases and Chari-Loktev bases for irreducible finite dimensional representations of special linear Lie algebras
K N Raghavan, B Ravinder, Sankaran Viswanath
We consider two bases for an arbitrary finite dimensional irreducible representation of a complex special linear Lie algebra: the classical Gelfand-Tsetlin basis and the relatively…
Bases for local Weyl modules in type
B. Ravinder
We give a Poincare-Birkhoff-Witt type basis for local Weyl modules of the current algebra of type . As a consequence, we get a fermionic character formula for these modules.
Stability of the Chari-Loktev bases for local Weyl modules of
B. Ravinder
We prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra . This is conjectured in \cite{RRV2…
On Chari-Loktev bases for local Weyl modules in type
K. N. Raghavan, B. Ravinder, Sankaran Viswanath
This paper is a study of the bases introduced by Chari-Loktev for local Weyl modules of the current algebra associated to a special linear Lie algebra. Partition overlaid patterns,…
Generalized Demazure modules and fusion products
B. Ravinder
Let be a finite-dimensional complex simple Lie algebra with highest root and let be the corresponding current algebra. In this paper, we consid…
Demazure Modules, Chari-Venkatesh Modules and Fusion Products
Bhimarthi Ravinder
Let be a finite-dimensional complex simple Lie algebra with highest root . Given two non-negative integers , , we prove that the fusion product of copie…
Stability of the Chari-Pressley-Loktev bases for local Weyl modules of
K. N. Raghavan, B. Ravinder, Sankaran Viswanath
We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra . These modules being known to be Demazure submod…