6533b832fe1ef96bd129a562

RESEARCH PRODUCT

Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One

Fabrizio Martino

subject

Involution (mathematics)Pure mathematicsGeneral Mathematics010102 general mathematics0211 other engineering and technologies021107 urban & regional planning02 engineering and technology01 natural sciencesSuperalgebraSettore MAT/02 - AlgebraSuperinvolutionPolynomial identity cocharacter super involution graded involutionBounded function0101 mathematicsMathematics

description

Let A be superalgebra over a field of characteristic zero and let ∗ be either a graded involution or a superinvolution defined on A. In this paper we characterize the ∗-algebras whose ∗-cocharacter has multiplicities bounded by one, showing a set of ∗-polynomial identities satisfied by such algebras.

yearjournalcountryeditionlanguage
2020-01-22
10.1007/s10468-020-09948-yhttp://hdl.handle.net/10447/395900