Zobrazeno 1 - 10
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pro vyhledávání: '"GRUBER, JONATHAN"'
Autor:
Gruber, Jonathan, Mancini, Gaëtan
Let $G$ be a simple algebraic group over an algebraically closed field $\Bbbk$ of positive characteristic. We consider the questions of when the tensor product of two simple $G$-modules is multiplicity free or completely reducible. We develop tools f
Externí odkaz:
http://arxiv.org/abs/2409.07888
Autor:
Gruber, Jonathan
Let $\mathbf{G}$ be either a simple linear algebraic group over an algebraically closed field of positive characteristic or a quantum group at a root of unity. We define new classes of indecomposable $\mathbf{G}$-modules, which we call generic direct
Externí odkaz:
http://arxiv.org/abs/2309.14804
Autor:
Gruber, Jonathan
Let $\mathbf{G}$ be either a simple linear algebraic group over an algebraically closed field of characteristic $\ell>0$ or a quantum group at an $\ell$-th root of unity. We define a tensor ideal of singular $\mathbf{G}$-modules in the category $\mat
Externí odkaz:
http://arxiv.org/abs/2304.07796
Autor:
Gruber, Jonathan
We use minimal tilting complexes to construct an explicit bijection between the set of thick tensor ideals with the two-out-of-three property in the category of finite-dimensional modules over a quantum group at a root of unity and the set of thick t
Externí odkaz:
http://arxiv.org/abs/2211.10037
Autor:
Gruber, Jonathan
We determine the dimensions of $\mathrm{Ext}$-groups between simple modules and dual generalized Verma modules in singular blocks of parabolic versions of category $\mathcal{O}$ for complex semisimple Lie algebras and affine Kac-Moody algebras.
Externí odkaz:
http://arxiv.org/abs/2210.02269
Autor:
Gruber, Jonathan
We explain the construction of minimal tilting complexes for objects of highest weight categories and we study in detail the minimal tilting complexes for standard objects and simple objects. For certain categories of representations of complex simpl
Externí odkaz:
http://arxiv.org/abs/2207.11999
Autor:
Gruber, Jonathan
Publikováno v:
Represent. Theory 26 (2022), 68-93
Let $G$ be a simple algebraic group over an algebraically closed field $\mathbb{F}$ of characteristic $p\geq h$, the Coxeter number of $G$. We observe an easy `recursion formula' for computing the Jantzen sum formula of a Weyl module with $p$-regular
Externí odkaz:
http://arxiv.org/abs/2107.03310
Autor:
Gruber, Jonathan
Publikováno v:
Trans. Amer. Math. Soc. Ser. B 8 (2021), 249-276
Let $G$ be a simply connected simple algebraic group over an algebraically closed field $k$ of characteristic $p>0$. The category of rational $G$-modules is not semisimple. We consider the question of when the tensor product of two simple $G$-modules
Externí odkaz:
http://arxiv.org/abs/2002.04848
Publikováno v:
AEA Papers and Proceedings, 2022 May 01. 112, 112-116.
Externí odkaz:
https://www.jstor.org/stable/27174371
Publikováno v:
In Journal of Public Economics October 2023 226