36 citations · 89 across the 11 of their papers we have counts for
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BGG Reciprocity for Generalized Weight Modules of Unrolled Restricted Quantum Groups at Roots of Unity
Matthew Rupert
We consider the category of generalized weight modules over the unrolled restricted quantum group of a finite-dimensional simple complex Lie algebr…
An algebraic theory for logarithmic Kazhdan-Lusztig correspondences
Thomas Creutzig, Simon Lentner, Matthew Rupert
Let be a braided tensor category, typically unknown, complicated and in particular non-semisimple. We characterize under the assumption that there exist…
The R-matrix presentation for the rational form of a quantized enveloping algebra
Matthew Rupert, Curtis Wendlandt
Let denote the rational form of the quantized enveloping algebra associated to a complex simple Lie algebra . Let be a nonzero dominant integr…
The R-matrix formalism for quantized enveloping algebras
Sachin Gautam, Matthew Rupert, Curtis Wendlandt
Let denote the Drinfeld-Jimbo quantum group associated to a simple Lie algebra . We apply a modification of the -matrix construction for quan…
Characterizing braided tensor categories associated to logarithmic vertex operator algebras
Thomas Creutzig, Simon Lentner, Matthew Rupert
Given a non-semisimple braided tensor category, with oplax tensor functors from known braided tensor categories, we ask : How does this knowledge characterize the tensor product an…
Braided Tensor Categories related to Vertex Algebras
Jean Auger, Thomas Creutzig, Shashank Kanade +1
The -algebras are a family of vertex operator algebras parameterized by . They are important examples of logarithmic CFTs and appear as chir…
Logarithmic Link Invariants of and Asymptotic Dimensions of Singlet Vertex Algebras
Thomas Creutzig, Antun Milas, Matt Rupert
We study relationships between the restricted unrolled quantum group at -th root of unity , and the singlet vertex ope…