Low-dimensional Cohomology of Current Lie Algebras and Analogs of the Riemann Tensor for Loop Manifolds
نویسنده
چکیده
We obtain formulas for the first and second cohomology groups of a general current Lie algebra with coefficients in the “current” module, and apply them to compute structure functions for manifolds of loops with values in compact Hermitian symmetric spaces.
منابع مشابه
Low-dimensional Cohomology of Current Lie Algebras and Structure Functions Associated with Loop Manifolds
We obtain formulas for the first and second cohomology groups of a general current Lie algebra with coefficient in the “current” module, and apply them to computation of structure functions associated with manifolds of loops on compact Hermitian symmetric space.
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