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Asymptotic behaviour of codimensions of p. i. algebras satisfying Capelli identities |
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| Authors: | Allan Berele Amitai Regev |
| Affiliation: | Department of Mathematics, DePaul University, Chicago, Illinois 60614 ; Department of Theoretical Mathematics, Weizmann Institute, Rehovot, Israel |
| Abstract: | Let  be a p. i. algebra with 1 in characteristic zero, satisfying a Capelli identity. Then the cocharacter sequence  is asymptotic to a function of the form  , where  and  . |
| Keywords: | Polynomial identities cocharacter sequence |
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