4 citations · 5 across the 4 of their papers we have counts for
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Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology
Igor B. Frenkel, Konstantin Styrkas
We identify the algebra of matrix elements of big projective modules in category O with the regular functions on the big Bruhat cell of G. Analogous extensions of the regular repre…
Homological realization of Nakajima varieties and Weyl group actions
Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann
We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.
Virasoro algebra and wreath product convolution
Igor Frenkel, Weiqiang Wang
We present a group theoretic construction of the Virasoro algebra in the framework of wreath products. This can be regarded as a counterpart of a geometric construction of Lehn in…
A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors
Joseph Bernstein, Igor Frenkel, Mikhail Khovanov
We identify the Grothendieck group of certain direct sum of singular blocks of the highest weight category for sl(n) with the n-th tensor power of the fundamental (two-dimensional)…
Canonical Basis and Macdonald Polynomials
Jonathan Beck, Igor Frenkel, Naihuan Jing
In the basic representation of realized via the algebra of symmetric functions we compare the canonical basis with the basis of Macdonald polynomials with $q=t^2…
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…