Monadicity of localization for Lie super-algebras $\mathfrak{gl}(m, n)$

Slava Pimenov

Monadicity of localization for Lie super-algebras $\mathfrak{gl}(m, n)$

Representation Theory 2021-10-05 v1 Algebraic Geometry

Authors: Slava Pimenov

Abstract

We study the localization functor from the category of representation of Lie super-algebra $\mathfrak{g} = \mathfrak{gl}(m, n)$ into monodromic D-modules on the flag manifold $X = G/B$ . We show that the right localization is monadic in a suitable sense, which identifies the coderived category of $\mathfrak{g}$ -modules with the ind-completion of compactly generated $W$ -modules for some algebra $W$ in monodromic $D_X$ -bimodules.

Keywords

lie superalgebra localization functor monadicity representation category monodromic d-modules flag manifold coderived category

Cite

@article{arxiv.2110.00802,
  title  = {Monadicity of localization for Lie super-algebras $\mathfrak{gl}(m, n)$},
  author = {Slava Pimenov},
  journal= {arXiv preprint arXiv:2110.00802},
  year   = {2021}
}

Comments

32 pages

Monadicity of localization for Lie super-algebras $\mathfrak{gl}(m, n)$

Abstract

Keywords

Cite

Comments

Related papers