Let F be a field of characteristic zero and let A be a finite dimensional algebra with involution ) over F. We study the asymptotic behavior of the sequence of n ลฝ . ลฝ . )-codimensions c A, ) of A and we show that Exp A, ) s lim c A, ) ' ลฝ . n n ยช ฯฑ n ลฝ . exists and is an integer. We give an expli
โฆ LIBER โฆ
Multialternating Jordan polynomials and codimension growth of matrix algebras
โ Scribed by Antonio Giambruno; Mikhail Zaicev
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 135 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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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