29 citations · 91 across the 6 of their papers we have counts for
6 papers
Annihilating ideals and tilting functors
Igor B. Frenkel, Feodor Malikov
We use Kazhdan-Lusztig tensoring to, first, describe annihilating ideals of highest weight modules over an affine Lie algebra in terms of the corresponding VOA and, second, to clas…
Universal Drinfeld-Sokolov Reduction and Matrices of Complex Size
Boris Khesin, Feodor Malikov
We construct affinization of the algebra of ``complex size'' matrices, that contains the algebras for integral values of the parameter. The Drinfeld--Sokolov Ha…
Fusion algebra at a rational level and cohomology of nilpotent subalgebras of sl_2
Boris Feigin, Feodor Malikov
We define and calculate the fusion algebra of WZW model at a rational level by cohomological methods. As a byproduct we obtain a cohomological characterization of admissible repres…
Solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded modules
Kenji Iohara, Feodor Malikov
We explicitly write dowm integral formulas for solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded -- neither highest nor lowest weight -- $\gtsl_{n+1}$-…
Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups
Kenji Iohara, Feodor Malikov
We introduce and study action of quantum groups on skew polynomial rings and related rings of quotients. This leads to a ``q-deformation'' of the Gel'fand-Kirillov conjecture which…
Integral Intertwining Operators and Complex Powers of Differential (Difference) Operators
Boris Feigin, Feodor Malikov
We study a family of modules over Kac-Moody algebras realized in multi-valued functions on a flag manifold and find integral representations for intertwining operators acting on th…