Zobrazeno 1 - 10
of 26 191
pro vyhledávání: '"P. Brauer"'
Autor:
Liu, Yuming, Xing, Bohan
In this paper, we define and study quasi-biserial algebras, special quasi-biserial algebras and labeled Brauer graph algebras. These algebras naturally generalize biserial and special biserial algebras to algebras of wild representation type, in a di
Externí odkaz:
http://arxiv.org/abs/2408.03778
Autor:
Liu, Yuming, Xing, Bohan
By giving some equivalent definitions of fractional Brauer configuration algebras of type S in some special cases, we construct a fractional Brauer configuration algebra from any monomial algebra. We show that this algebra is isomorphic to the trivia
Externí odkaz:
http://arxiv.org/abs/2408.02537
Autor:
Koshitani, Shigeo, Tuvay, İpek
It is proven that if a finite group $G$ has a normal subgroup $H$ with $p'$-index (where $p$ is a prime) and $G/H$ is solvable, then for a $p$-subgroup $P$ of $H$, if the Scott $kH$-module with vertex $P$ is Brauer indecomposable, then so is the Scot
Externí odkaz:
http://arxiv.org/abs/2409.00403
Autor:
Savage, Alistair, Webster, Ben
We introduce a generating function approach to the affine Brauer and Kauffman categories and show how it allows one to efficiently recover important sets of relations in these categories. We use this formalism to deduce restrictions on possible categ
Externí odkaz:
http://arxiv.org/abs/2408.07000
Autor:
Mousavand, Kaveh, Paquette, Charles
For finite dimensional algebras over algebraically closed fields, we study the sets of pairwise Hom-orthogonal modules and obtain new results on some open conjectures on the behaviour of bricks and several related problems, which we generally refer t
Externí odkaz:
http://arxiv.org/abs/2407.20877
Autor:
Helpin, Thomas
In the first part of this thesis, we make use of representation theory of groups and algebras to perform an irreducible decomposition of tensors in the context of metric-affine gravity. In particular, we consider the action of the orthogonal group O(
Externí odkaz:
http://arxiv.org/abs/2407.18019
We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which case it is annihilated by p.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2407.07989
Autor:
Lawrence, Thomas
Let $\mathcal{F}$ be a saturated fusion system on a $p$-group $S$. We study the ring $R(\mathcal{F})$ of $\mathcal{F}$-stable characters by exploiting a new connection to the modular characters of a finite group $G$ with $\mathcal{F} = \mathcal{F}_S(
Externí odkaz:
http://arxiv.org/abs/2409.03007
Autor:
Matsuda, Koji
We show that the Shimura varieties of level one parametrizing QM-abelian varieties have rarely rational points.
Externí odkaz:
http://arxiv.org/abs/2407.06921
Autor:
Barbier, Sigiswald
This paper introduces monoidal (super)categories resembling the Brauer category. For all categories, we can construct bases of the hom-spaces using Brauer diagrams. These categories include the Brauer category, its deformation the BWM-category, the p
Externí odkaz:
http://arxiv.org/abs/2406.18436