Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions

Autor:	Lee, Jaehyeok, Park, Jae-Suk
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	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. Comment: 73 pages, correction of typos. arXiv admin note: text overlap with arXiv:1903.09206
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1904.03162 Zobrazit plný text záznamu View this record from Arxiv