S. Loktev

activity

19982001

collaborators

5 papers

math.QA2001

Bosonic formulas for (k,l)-admissible partitions

B. Feigin, M. Jimbo, S. Loktev +2

Bosonic formulas for generating series of partitions with certain restrictions are obtained by solving a set of linear matrix q-difference equations. Some particular cases are rela…

math.QA2000

Combinatorics of the $s l^_{2}$ Spaces of Coinvariants III

B. Feigin, R. Kedem, S. Loktev +2

We give the fermionic character formulas for the spaces of coinvariants obtained from level $k$ integrable representations of $s l^_{2}$ . We establish the functional re…

math.QA2000

Combinatorics of the $s l_{2}^$ spaces of coinvariants II

B. Feigin, R. Kedem, S. Loktev +2

The spaces of coinvariants are quotient spaces of integrable $s l_{2}^$ modules by subspaces generated by actions of certain subalgebras labeled by a set of points on a complex l…

math-ph1999

Combinatorics of the $s l^_{2}$ Spaces of Coinvariants

B. Feigin, R. Kedem, S. Loktev +2

We consider two types of quotients of the integrable modules of $s l^_{2}$ . These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of level- $k$ .…

math.QA1998

On generalized Kostka polynomials and quantum Verlinde rule

B. Feigin, S. Loktev

Here we propose a way to construct generalized Kostka polynomials. Namely, we construct an equivariant filtration on tensor products of irreducible representations. Further, we dis…

Bosonic formulas for (k,l)-admissible partitions

Combinatorics of the sl^2​ Spaces of Coinvariants III

Combinatorics of the sl2​^​ spaces of coinvariants II

Combinatorics of the sl^2​ Spaces of Coinvariants

On generalized Kostka polynomials and quantum Verlinde rule

Combinatorics of the $s l^_{2}$ Spaces of Coinvariants III

Combinatorics of the $s l_{2}^$ spaces of coinvariants II

Combinatorics of the $s l^_{2}$ Spaces of Coinvariants