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Direct proofs of the Feigin-Fuchs character formula for unitary representations of the Virasoro algebra
Direct proofs of the Feigin-Fuchs character unitary representations Virasoro algebra
2011/3/1
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary
discrete series of the Virasoro algebra with 0 < c < 1.
Holomorphic Realization of Unitary Representations of Banach--Lie Groups
Holomorphic Realization Unitary Representations Banach--Lie Groups
2010/11/11
In this paper we explore the method of holomorphic induction for unitary representations of Banach--Lie groups. First we show that the classification of complex bundle structures on homogeneous Banac...
On infinite tensor products of projective unitary representations
tensor products projective unitary representations
2010/10/29
We initiate a study of infinite tensor products of projective unitary representations of a discrete group G. Special attention is given to regular representations twisted by 2-cocycles and to projecti...