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q-alg1997
Cohomology of the Lie algebras of differential operators: lifting formulas
Boris Shoikhet
We construct the explicit formula for the (2n+1)-cocycle of the Lie algebra of (pseudo)differential operators on a n-dimensional space. We prove that this formula in fact defines a…
q-alg1997
Representations of the Lie algebra gl(infinity)^ and ``reciprocity formula'' for Clebsch-Gordan coefficients
Boris Shoikhet
We compare two approaches to the calculation of irreducible characters of the Lie algebra gl(infinity)^ with negative integral central charge. As a consequence, we obtain a "recipr…