We study associative algebras with 1 endowed with an automorphism or antiautomor- phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1, we construct associative '-algebras whose '-codimension sequence is given asymptoti- cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi- ble.
La Mattina, D., Mauceri, S., Misso, P. (2009). Polynomial growth and identities of superalgebras and star-algebras. JOURNAL OF PURE AND APPLIED ALGEBRA, 213(213), 2087-2094 [10.1016/j.jpaa.2009.03.003].
Polynomial growth and identities of superalgebras and star-algebras
LA MATTINA, Daniela;MAUCERI, Silvana;MISSO, Paola
2009-01-01
Abstract
We study associative algebras with 1 endowed with an automorphism or antiautomor- phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1, we construct associative '-algebras whose '-codimension sequence is given asymptoti- cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi- ble.
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