Let T be the generic trace algebra generated by the algebra R of two generic 2 = 2 matrices and by all traces of the matrices from R over a field K. We construct new automorphisms of T and R. They induce automorphisms of the polynomial algebra in five variables which fix two of the variables. Our au
Matrix Algebras with Involution and Central Polynomials
โ Scribed by Tsetska Rashkova
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 118 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
In this paper we study central polynomials for the matrix algebra M 2n K * with symplectic involution * . Their form is inspired by an apporach of Formanek and Bergman for investigating matrix identities by means of commutative algebra. We continue the investigations started earlier (1999,
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