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arXiv · math/0610478

Rigid current Lie algebras

Michel Goze·Elisabeth Remm
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Abstract

A current Lie algebra is contructed from a tensor product of a Lie algebra and a commutative associative algebra of dimension greater than 2. In this work we are interested in deformations of such algebras and in the problem of rigidity. In particular we prove that a current Lie algebra is rigid if it is isomorphic to a direct product gxg...xg where g is a rigid Lie algebra.

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Michel Goze, Elisabeth Remm. 2006-10-16. Rigid current Lie algebras. https://arxiv.org/abs/math/0610478

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