Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Rupert, Matthew"'
Autor:
Rupert, Matthew
We consider the category of generalized weight modules over the unrolled restricted quantum group $\overline{U}_q^H(\mathfrak{g})$ of a finite-dimensional simple complex Lie algebra $\mathfrak{g}$ at root of unity q. Although this category does not a
Externí odkaz:
http://arxiv.org/abs/2402.03668
Let $\mathcal{U}$ be a braided tensor category, typically unknown, complicated and in particular non-semisimple. We characterize $\mathcal{U}$ under the assumption that there exists a commutative algebra $A$ in $\mathcal{U}$ with certain properties:
Externí odkaz:
http://arxiv.org/abs/2306.11492
Autor:
Rupert, Matthew, Wendlandt, Curtis
Let $U_q(\mathfrak{g})$ denote the rational form of the quantized enveloping algebra associated to a complex simple Lie algebra $\mathfrak{g}$. Let $\lambda$ be a nonzero dominant integral weight of $\mathfrak{g}$, and let $V$ be the corresponding ty
Externí odkaz:
http://arxiv.org/abs/2306.09971
Autor:
Rupert, Matthew
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 conditions for induction functors associated to simple current extensions of v
Externí odkaz:
http://arxiv.org/abs/2305.01187
Let $U_\hbar\mathfrak{g}$ denote the Drinfeld-Jimbo quantum group associated to a complex semisimple Lie algebra $\mathfrak{g}$. We apply a modification of the $R$-matrix construction for quantum groups to the evaluation of the universal $R$-matrix o
Externí odkaz:
http://arxiv.org/abs/2210.06770
Publikováno v:
In Journal of Pure and Applied Algebra January 2025 229(1)
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 essentially wide open problem. Even conjectures are lacking. This work d
Externí odkaz:
http://arxiv.org/abs/2112.13167
We study properties of relative modular categories and derive sufficient conditions for their existence. In particular, we derive sufficient conditions for relative pre-modular categories to be non-degenerate and relative modular, and for the quotien
Externí odkaz:
http://arxiv.org/abs/2110.15518
Autor:
Rupert, Matthew, Wendlandt, Curtis
Publikováno v:
In Journal of Algebra 1 June 2024 647:28-71
Autor:
Rupert, Matthew
Publikováno v:
In Journal of Pure and Applied Algebra June 2024 228(6)