Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions
Algebraic Geometry
2019-04-23 v2 Algebraic Topology
Quantum Algebra
Abstract
We develop a basic theory of affine group dg-schemes, their Lie algebraic counterparts and linear representations. We prove Tannaka type reconstruction theorems that an affine group dg-scheme can be recovered from the dg-tensor category of its linear representations as well as from the rigid dg-tensor category of its finite dimensional linear representations along with the forgetful functors to the underlying dg-tensor category of cochain complexes.
Cite
@article{arxiv.1904.03162,
title = {Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions},
author = {Jaehyeok Lee and Jae-Suk Park},
journal= {arXiv preprint arXiv:1904.03162},
year = {2019}
}
Comments
73 pages, correction of typos. arXiv admin note: text overlap with arXiv:1903.09206