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]
Benanti, F. (2013). ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS. ISRAEL JOURNAL OF MATHEMATICS, 196, 51-65 [10.1007/s11856-012-0143-8].
ON THE EXPONENTIAL GROWTH OF GRADED CAPELLI POLYNOMIALS
BENANTI, Francesca Saviella
2013-01-01
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]
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