4 citations · 5 across the 4 of their papers we have counts for
9 papers
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…
Complex ADHM equations, sheaves on P^3 and quantum instantons
Igor Frenkel, Marcos Jardim
We use a complex version of the celebrated Atiyah-Hitchin-Drinfeld-Manin matrix equations to construct admissible torsion-free sheaves on $\p^3$ and complex quantum instantons over…
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.
Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis
Igor Frenkel, Anton Malkin, Maxim Vybornov
We suggest a (conjectural) construction of a basis in the plus part of the affine Lie algebra of type ADE indexed by irreducible components of certain quiver varieties. This constr…
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…
Affine Lie Algebras and Tame Quivers
Igor Frenkel, Anton Malkin, Maxim Vybornov
C.M. Ringel defined Hall algebra associated with the category of representations of a quiver of Dynkin type and gave an explicit description of the structure constants of the corre…