Homogeneous involutions on graded division algebras and their polynomial identities

Author(s)

Yasumura, Felipe Yukihide

• Document type: Journal article
• Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 11-pg., 2023-03-22.

Abstract

In this paper, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by Fonseca and Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution. (AU)

• FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
• Grantee: Ivan Chestakov
• Support Opportunities: Research Projects - Thematic Grants