Affine group dg-schemes and linear representations I - Basic theory and Tannakian reconstructions
Autor: | Lee, Jaehyeok, Park, Jae-Suk |
---|---|
Rok vydání: | 2019 |
Předmět: | |
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: |