Bv-structure of the Cohomology of Nilpotent Subalgebras and the Geometry of (w-) Strings


Given a simple, simply laced, complex Lie algebra g corresponding to the Lie group G, let n+ be the subalgebra generated by the positive roots. In this paper we construct a BV-algebra BV[g] whose underlying graded commutative algebra is given by the cohomology, with respect to n+, of the algebra of regular functions on G with values in ∧ (n+\g). We… (More)


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