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arXiv math/0302334math.RAmath.DGmath.KT

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

Pasha Zusmanovich

英文摘要:

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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