Graded polynomial identities for matrices with the transpose involution over an infinite field |
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Authors: | Luís Felipe Gonçalves Fonseca |
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Institution: | Instituto de Ciências Exatas e Tecnológicas, Universidade Federal de Vi?osa, Florestal, Minas Gerais, Brazil |
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Abstract: | Let F be an infinite field and let Mn(F) be the algebra of n×n matrices over F endowed with an elementary grading whose neutral component coincides with the main diagonal. In this paper, we find a basis for the graded polynomial identities of Mn(F) with the transpose involution. Our results generalize for infinite fields of arbitrary characteristic previous results in the literature, which were obtained for the field of complex numbers and for a particular class of elementary G-gradings. |
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Keywords: | Algebras with involution graded polynomial identities identities with involution matrix algebras |
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