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math.QA2004
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…
math.QA2002
How to regularize singular vectors and kill the dynamical Weyl group
K. Styrkas, V. Tarasov, A. Varchenko
We study the meromorphic family of intertwining operators between Verma modules and their products with finite-dimensional ones. A regularizing operator, acting in a finite dimensi…