6533b837fe1ef96bd12a1e36
RESEARCH PRODUCT
Capelli identities on algebras with involution or graded involution
Francesca Saviella BenantiAngela Valentisubject
Settore MAT/02 - AlgebraInvolution graded involution Capelli polynomials codimensionGeneral Mathematicsdescription
We present recent results about Capelli polynomials with involution or graded involution and their asymptotics. In the associative case, the asymptotic equality between the codimensions of the T -ideal generated by the Capelli polynomial of rank k2 + 1 and the codimensions of the matrix algebra Mk(F) was proved. This result was extended to superalgebras. Recently, similar results have been determined by the authors in the case of algebras with involution and superalgebras with graded involution.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-06-20 | Turkish Journal of Mathematics |