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arXiv · 1402.0980

Simple Deformed Witt Algebras

Guang'ai Song·Chunguang Xia
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Abstract

For any factorization domain $\cal A$ and an algebra endomorphism $\sigma$ of $\cal A$, there exists a non-associative algebra $({\cal A},\sigma,[\cdot,\cdot])$ with multiplication satisfying skew-symmetry and generalized (twisted) Jacobi identities, called a $\sigma$-deformed Witt algebra. In this paper, we obtain the necessary and sufficient conditions for the algebra $({\cal A},\sigma,[\cdot,\cdot])$ to be simple.

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Guang'ai Song, Chunguang Xia. 2014-02-05. Simple Deformed Witt Algebras. https://arxiv.org/abs/1402.0980

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