Differential graded algebras over some reductive group

2017/04/06 by Cao, Jin
#18D35 #Category Theory (math.CT) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1704.01734

Abstract

We study the general properties of commutative differential graded algebras in the category of representations over a reductive algebraic group with an injective central cocharacter. Besides describing the derived category of differential graded modules over such an algebra, we also provide a criterion for the existence of a t-structure on the derived category together with a characterization of the coordinate ring of the Tannakian fundamental group of its heart.

Related

• The Differential Graded Stable Category of a Self-Injective Algebra
• Differential graded division algebras, their modules, and dg-simple algebras
• Recollement for Differential Graded Algebras
• Differential Graded Schemes II: The 2-category of Differential Graded Schemes
• The fundamental group of a noncommutative space