Zobrazeno 1 - 10
of 239
pro vyhledávání: '"Rubio Y"'
Motivated by an equivalence of categories established by Kapranov and Schechtman, we introduce, for each non-negative integer d, the category of connected bialgebras modulo d+1. We show that these categories fit into an inverse system of categories w
Externí odkaz:
http://arxiv.org/abs/2412.00234
In this paper we investigate the Lie algebra structure of the first relative Hochschild cohomology and its relation with the relative notion of fundamental group. Let $A,B$ be finite-dimensional basic $k$-algebras over an algebraically closed field o
Externí odkaz:
http://arxiv.org/abs/2411.03080
In a previous paper arXiv:2211.05435 we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In the present paper, we compare the Hochschild cohomology groups of finite dimensional monom
Externí odkaz:
http://arxiv.org/abs/2307.08057
We compare the first Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. We also compare the fundamental groups and the Hochschild cohomology groups in other degrees. In particular, we will study the cas
Externí odkaz:
http://arxiv.org/abs/2211.05435
Building on work of Gerstenhaber, we show that the space of integrable derivations on an Artin algebra $A$ forms a Lie algebra, and a restricted Lie algebra if $A$ contains a field of characteristic $p$. We deduce that the space of integrable classes
Externí odkaz:
http://arxiv.org/abs/2205.01660
We investigate maximal tori in the Hochschild cohomology Lie algebra $HH^1(A)$ of a finite dimensional algebra $A$, and their connection with the fundamental groups associated to presentations of $A$. We prove that every maximal torus in $HH^1(A)$ ar
Externí odkaz:
http://arxiv.org/abs/2109.03704
Publikováno v:
Pacific J. Math. 321 (2022) 45-71
We show that the restricted Lie algebra structure on Hochschild cohomology is invariant under stable equivalences of Morita type between self-injective algebras. Thereby we obtain a number of positive characteristic stable invariants, such as the $p$
Externí odkaz:
http://arxiv.org/abs/2006.13871
In this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic. In particular, we show that if the quiver has
Externí odkaz:
http://arxiv.org/abs/1903.12145
Let $A$ be a split finite-dimensional associative unital algebra over a field. The first main result of this note shows that if the Ext-quiver of $A$ is a simple directed graph, then $HH^1(A)$ is a solvable Lie algebra. The second main result shows t
Externí odkaz:
http://arxiv.org/abs/1903.08484
Autor:
Rubio y Degrassi, L.
The aim of this thesis is to study local and global invariants in representation theory of finite groups using the (restricted) Lie algebra structure of the first degree of Hochschild cohomology of a block algebra B as a main tool. This lead to two d
Externí odkaz:
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.725723