Character triples and equivalences over a group graded G-algebra

2019/12/11 by Marcus, Andrei, Minuta, Virgilius-Aurelian
#16D90 #16S35 #16W50 #18E30 (Secondary) #20C05 #20C20 (Primary) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1912.05666

Abstract

We introduce Morita and Rickard equivalences over a group graded G-algebra between block extensions. A consequence of such equivalences is that Späth's central order relation holds between two corresponding character triples.

Related

• Group graded basic Morita equivalences
• Descent of equivalences and character bijections
• Graded Morita theory over a G-graded G-acted algebra
• Description of the structure of DG--algebras via characters on a groupoid
• Equivalences of Graded Categories