S. Loktev

activity

19982001

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4 papers · 1 filter

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.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

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