Matt Rupert

activity

20162020

collaborators

4 papers

math.RT2020

Uprolling Unrolled Quantum Groups

Thomas Creutzig, Matthew Rupert

We construct families of commutative (super) algebra objects in the category of weight modules for the unrolled restricted quantum group $\overline{U}_q^H(\mfg)$ of a simple Lie al…

math.QA2019

Braided Tensor Categories related to $B_{p}$ Vertex Algebras

Jean Auger, Thomas Creutzig, Shashank Kanade +1

The $B_{p}$ -algebras are a family of vertex operator algebras parameterized by $p \in Z_{\geq 2}$ . They are important examples of logarithmic CFTs and appear as chir…

math.CT2017

On Infinite Order Simple Current Extensions of Vertex Operator Algebras

Jean Auger, Matt Rupert

We construct a direct sum completion $C_{\oplus}$ of a given braided monoidal category $C$ which allows for the rigorous treatment of infinite order simple curr…

math.QA2016

Logarithmic Link Invariants of $U_{q}^{H} (sl_{2})$ and Asymptotic Dimensions of Singlet Vertex Algebras

Thomas Creutzig, Antun Milas, Matt Rupert

We study relationships between the restricted unrolled quantum group $U_{q}^{H} (sl_{2})$ at $2 r$ -th root of unity $q = e^{π i / r}, r \geq 2$ , and the singlet vertex ope…

Uprolling Unrolled Quantum Groups

Braided Tensor Categories related to Bp​ Vertex Algebras

On Infinite Order Simple Current Extensions of Vertex Operator Algebras

Logarithmic Link Invariants of UqH​(sl2​) and Asymptotic Dimensions of Singlet Vertex Algebras

Braided Tensor Categories related to $B_{p}$ Vertex Algebras

Logarithmic Link Invariants of $U_{q}^{H} (sl_{2})$ and Asymptotic Dimensions of Singlet Vertex Algebras