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math.QA2000
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…
math.RT2000
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…
math.QA2000
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)…