Study-type determinants and their properties

Abstract

In this paper, we define the concept of the Study-type determinant, and we present some properties of these determinants. These properties lead to some properties of the Study determinant. The properties of the Study-type determinants are obtained using a commutative diagram. This diagram leads not only to these properties, but also to an inequality for the degrees of representations and to an extension of Dedekind's theorem.

References in corpus (2)

• Compositions of invertibility preserving maps for some monoids and their application to Clifford algebras
• Capelli elements of the group algebra