Фейгин Борис Львович

$\scr W\sp {(2)}\sb n$ algebras.

2004 · ARTICLE · en

Addendum to: "Bosonic formulas for $(k,l)$-admissible partitions"

2003 · ARTICLE · en

A construction of level 1 irreducible modules for $U\sb q(\widehat{\germ s\germ p}\sb 4)$ > using level 2 intertwiners for $U\sb q(\widehat{\germ s\germ l}\sb 2)$.

2003 · ARTICLE · en

Symmetric polynomials vanishing on the diagonals shifted by roots of unity

2003 · ARTICLE · en

A differential ideal of symmetric polynomials spanned by Jack polynomials at $\beta=-(r-1)/(k+1)$.

2002 · ARTICLE · en

For each pair of positive integers (k, r) such that k+1, r−1 are coprime, we introduce an ideal I(k,r) n of the ring of symmetric polynomials C[x1, · · ·, xn]Sn. The ideal I(k,r) n has a basis consisting of Jack polynomials with parameter = −(r−1)/(k + 1), and admits an action of a family of differential operators of Dunkl type including the positive half of the Virasoro algebra. The space I(k,2)n coincides with the space of all symmetric polynomials in n variables which vanish when k + 1 variables are set equal. The space I(2,r)n coincides with the space of correlation functions of an abelian current of a vertex operator algebra related to Virasoro minimal series (3, r + 2).

Combinatorics of the $\widehat{\germ{sl}}\sb 2$ coinvariants: dual functional realization and recursion.

2002 · ARTICLE · en

Coinvariants for lattice VOAs and $q$-supernomial coefficients.

2002 · ARTICLE · en

Combinatorics of the $\widehat{\germ s\germ l}\sb 2$ spaces of coinvariants: loop Heisenberg modules and recursion.

2002 · ARTICLE · en

$Q$-characters of the tensor products in $\germ s\germ l\sb 2$-case.

2002 · ARTICLE · en

Полубесконечная реализация унитарных представлений $N=2$ алгебрыи связанные с этим конструкции.

2001 · ARTICLE · ru