ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS
- Authors: Benanti, F
- Publication year: 2013
- Type: Articolo in rivista (Articolo in rivista)
- Key words: algebras with pilynomial identities, noncommutative invariant theory, asymptotic equivalence
- OA Link: http://hdl.handle.net/10447/66230
Abstract
In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials CapM+1[Y,X] and CapL+1[Z,X] alternating on M+1 even variables and L+1 odd variables, respectively. Here we compute the superexponent of the variety of superalgebras determinated by CapM+1[Y,X] and CapL+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3]