On the codimension growth of simple color Lie superalgebras

Dušan Pagon; Dušan Repovš; Mikhail Zaicev

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arXiv · 1602.06088

On the codimension growth of simple color Lie superalgebras

Dušan Pagon·Dušan Repovš·Mikhail Zaicev

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Abstract

We study polynomial identities of finite dimensional simple color Lie superalgebras over an algebraically closed field of characteristic zero graded by the product of two cyclic groups of order $2$. We prove that the codimensions of identities grow exponentially and the rate of exponent equals the dimension of the algebra. A similar result is also obtained for graded identities and graded codimensions.

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Dušan Pagon, Dušan Repovš, Mikhail Zaicev. 2016-02-19. On the codimension growth of simple color Lie superalgebras. https://arxiv.org/abs/1602.06088

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