Degree-inverting involutions on matrix algebras

Author(s)

Goncalves Fonseca, Luis Felipe ^[1] ; de Mello, Thiago Castilho ^[2]

Affiliation

^[1] Univ Fed Vicosa, Inst Ciencias Exatas & Tecnol, Florestal - Brazil

^[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Jose Dos Campos - Brazil

• Document type: Journal article
• Source: LINEAR & MULTILINEAR ALGEBRA; v. 66, n. 6, p. 1104-1120, 2018.
• Web of Science Citations: 1

Abstract

Let F be an algebraically closed field of characteristic zero, and G be a finite abelian group. If A = circle times(g is an element of G)A(g) is a G-graded algebra, we study degree-inverting involutions on A, i.e. involutions {*} on A satisfying (A(g)){*} subset of A(g-1), for all g is an element of G. We describe such involutions for the full nxn matrix (AU)

• FAPESP's process: 14/10352-4 - Algebras matrices and varieties
• Grantee: Thiago Castilho de Mello
• Support Opportunities: Regular Research Grants
• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants