Abstract
Let $A$ be a finite dimensional algebra over a fieldof characteristic zero graded by a finite abelian group $G$. Here westudy a growth function related to the graded polynomial identitiessatisfied by $A$ by computing the exponential rate of growth of thesequence of graded codimensions of $A$. We prove that the$G$-exponent of $A$ exists and is an integer related in an explicitway to the dimension of a suitable semisimple subalgebra of $A$.
| Lingua originale | English |
|---|---|
| pagine (da-a) | 83-100 |
| Numero di pagine | 18 |
| Rivista | JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK |
| Volume | 650 |
| Stato di pubblicazione | Published - 2011 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
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La Mattina, D., Giambruno, A., & Aljadeff, E. (2011). Graded polynomial identities and exponential growth. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, 650, 83-100.