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

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

2003-02-26

arxiv.org/abs/math/0302334v6

Lin. Algebra Appl. 407 (2005), 71-104

Mathematics

Rings and Algebras

v6: added footnote about incorrect arguments at p.6; fixed few typos

Scientific paper

10.1016/j.laa.2005.04.018

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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