84 citations · 116 across the 13 of their papers we have counts for
13 papers
Combinatorics and Geometry of Higher Level Weyl Modules
B. Feigin, A. N. Kirillov, S. Loktev
A higher level analog of Weyl modules over multi-variable currents is proposed. It is shown that the sum of their dual spaces form a commutative algebra. The structure of these mod…
Weyl, Fusion and Demazure modules for the current algebra of sl_{r+1}
Vyjayanthi Chari, Sergei Loktev
We construct a Poincare-Birkhoff-Witt type basis for the Weyl modules of the current algebra of . As a corollary we prove a conjecture made by Chari and Pressley on the d…
Deformation of Weyl Modules and Generalized Parking Functions
B. Feigin, S. Loktev
Local Weyl modules over two-dimensional currents with values in are deformed into spaces with bases related to parking functions. Using this construction we 1) propose a sim…
Multi-dimensional Weyl Modules and Symmetric Functions
B. Feigin, S. Loktev
The Weyl modules in the sense of V.Chari and A.Pressley [CP] over the current Lie algebra on an affine variety are studied. We show that local Weyl modules are finite-dimensional a…
Two character formulas for spaces of coinvariants
B. Feigin, M. Jimbo, S. Loktev +1
We consider spaces of coinvariants with respect to two kinds of ideals of the enveloping algebra $U(sl_2\otimes\C[t])$. The first one is generated by …
Spaces of coinvariants and fusion product II. Affine sl_2 character formulas in terms of Kostka polynomials
B. Feigin, M. Jimbo, R. Kedem +2
In this paper, we continue our study of the Hilbert polynomials of coinvariants begun in our previous work math.QA/0205324 (paper I). We describe the sl_n-fusion products for symme…