On the growth of graded polynomial identities of sl_n

Lucio Centrone; Manuela da Silva Souza

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arXiv · 1506.00510

On the growth of graded polynomial identities of sl_n

Lucio Centrone·Manuela da Silva Souza

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Abstract

Let K be a field of characteristic 0 and L be a G-graded Lie PI-algebra, where G is a finite group. We define the graded Gelfand-Kirillov dimension of L. Then we measure the growth of the Z_n-graded polynomial identities of the Lie algebra of n x n traceless matrices sl_n(K) giving an exact value of its Z_n-graded Gelfand-Kirillov dimension.

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Lucio Centrone, Manuela da Silva Souza. 2015-06-01. On the growth of graded polynomial identities of sl_n. https://arxiv.org/abs/1506.00510

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