# Remarks on the derived center of small quantum groups

@article{Lachowska2019RemarksOT, title={Remarks on the derived center of small quantum groups}, author={Anna Lachowska and You Qi}, journal={Selecta Mathematica}, year={2019}, volume={27} }

Let uq(g)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathsf {u}}_q(\mathfrak {g})$$\end{document} be the small quantum group associated with a complex semisimple Lie algebra g\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy…

## 4 Citations

### On the affine Springer fibers inside the invariant center of the small quantum group

- Mathematics
- 2022

Let u ∨ ζ denote the small quantum group associated with a simple Lie algebra g ∨ and a root of unity ζ . Based on the geometric realization of u ∨ ζ in [8], we use a combinatorial method to derive a…

### Homotopy Invariants of Braided Commutative Algebras and the Deligne Conjecture for Finite Tensor Categories

- Mathematics
- 2022

It is easy to ﬁnd algebras T ∈ C in a ﬁnite tensor category C that naturally come with a lift to a braided commutative algebra T ∈ Z ( C ) in the Drinfeld center of C . In fact, any ﬁnite tensor…

### Support theory for the small quantum group and the Springer resolution

- Mathematics
- 2022

We consider the small quantum group u(Gq), for an almost-simple algebraic group G over the complex numbers and a root of unity q of sufficiently large order. We show that the Balmer spectrum for the…

### The differential graded Verlinde Formula and the Deligne Conjecture

- Mathematics
- 2021

A modular category C gives rise to a diﬀerential graded modular functor, i.e. a system of projective mapping class group representations on chain complexes. This diﬀerential graded modular functor…

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