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Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds

Pasha Zusmanovich
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Abstract

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.

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Pasha Zusmanovich. 2003-02-26. Low-dimensional cohomology of current Lie algebras and analogs of the Riemann tensor for loop manifolds. https://doi.org/10.1016/j.laa.2005.04.018

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