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Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

Published online by Cambridge University Press:  20 November 2018

Vesselin Drensky  and
Antonio Giambruno
Vesselin Drensky
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, Acad. Georgy Bonchev Str. block 8 1113 Sofia Bulgaria
Antonio Giambruno
Affiliation:
Department of Mathematics, University of Palermo, Via Archirafi 34 90123 Palermo, Italy
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Abstract

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Let M2(K, *) be the algebra of 2 × 2 matrices with involution over a field K of characteristic 0. We obtain the exact values of the cocharacters, codimensions and Hilbert series of the *-T-ideal of the polynomial identities for M2(K, *).

Keywords

16R50
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 46 , Issue 4 , 01 August 1994 , pp. 718 - 733
Copyright
Copyright © Canadian Mathematical Society 1994

References

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