36 citations · 89 across the 11 of their papers we have counts for
14 papers
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…
Preservation of Loewy Diagrams Under Exact Functors
Matthew Rupert
We derive sufficient conditions for exact functors on locally finite abelian categories to preserve Loewy diagrams of objects. We apply our results to determine sufficient conditio…
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…
A Kazhdan-Lusztig correspondence for
Thomas Creutzig, David Ridout, Matthew Rupert
The abelian and monoidal structure of the category of smooth weight modules over a non-integrable affine vertex algebra of rank greater than one is an interesting, difficult and es…