English

Differential graded algebras over some reductive group

Rings and Algebras 2017-04-07 v1 Category Theory

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.

Keywords

Cite

@article{arxiv.1704.01734,
  title  = {Differential graded algebras over some reductive group},
  author = {Jin Cao},
  journal= {arXiv preprint arXiv:1704.01734},
  year   = {2017}
}

Comments

30 pages. Comments are welcome!

R2 v1 2026-06-22T19:09:26.094Z