6533b857fe1ef96bd12b5158
RESEARCH PRODUCT
On the exponential growth of graded Capelli polynomials
Francesca Benantisubject
CombinatoricsSettore MAT/02 - AlgebraExponential growthMathematics::Quantum AlgebraGeneral MathematicsZero (complex analysis)algebras with pilynomial identities noncommutative invariant theory asymptotic equivalenceField (mathematics)Algebra over a fieldVariety (universal algebra)Mathematics::Representation TheorySuperalgebraMathematicsdescription
In a free superalgebra over a field of characteristic zero we consider the graded Capelli polynomials Cap M+1[Y,X] and Cap L+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 Cap M+1[Y,X] and Cap L+1[Z,X]. An essential tool in our computation is the generalized-six-square theorem proved in [3].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-01 | Israel Journal of Mathematics |