Zobrazeno 1 - 10
of 15
pro vyhledávání: '"16E40, 16W30"'
We define the secondary Hochschild complex for an entwining structure over a commutative $k$-algebra $B$. We show that this complex carries the structure of a weak comp algebra. We obtain two distinct cup product structures for the secondary cohomolo
Externí odkaz:
http://arxiv.org/abs/1909.05476
Autor:
Yu, Xiaolan, Zhang, Yinhuo
We give the full structure of the Ext algebra of a Nichols algebra of type $A_2$ by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras $u(\mathcal{D}, \lmd, \mu)$ with Dynkin diagrams of type $A$,
Externí odkaz:
http://arxiv.org/abs/1107.4437
We prove finite generation of the cohomology ring of any finite dimensional pointed Hopf algebra, having abelian group of grouplike elements, under some mild restrictions on the group order. The proof uses the recent classification by Andruskiewitsch
Externí odkaz:
http://arxiv.org/abs/0902.0801
Autor:
Makhlouf, Abdenacer, Stefan, Dragos
Let A be an H-Galois extension of B. If M is a Hopf bimodule then HH.(A,M), the Hochschild homology of A with coefficients in M, is a right comodule over the coalgebra C:=H/[H,H]. Given an injective left C-comodule V, we denote the cotensor product o
Externí odkaz:
http://arxiv.org/abs/0810.5326
Autor:
Böhm, Gabriella, Stefan, Dragos
Publikováno v:
Algebr. Represent. Theory 12 (2009), no. 2-5, 153-180
In a recent paper arXiv:0705.3190, we gave a general construction of a para-cocyclic structure on a cosimplex, associated to a so called admissible septuple -- consisting of two categories, three functors and two natural transformations, subject to c
Externí odkaz:
http://arxiv.org/abs/0801.0033
Autor:
Taillefer, Rachel
We prove that the category of Hopf bimodules over any Hopf algebra has enough injectives, which enables us to extend some results on the unification of Hopf bimodule cohomologies of [T1,T2] to the infinite dimensional case. We also prove that the cup
Externí odkaz:
http://arxiv.org/abs/math/0207154
Autor:
Taillefer, Rachel
A cyclic cohomology theory adapted to Hopf algebras has been introduced recently by Connes and Moscovici. In this paper, we consider this object in the homological framework, in the spirit of Loday-Quillen and Karoubi's work on the cyclic homology of
Externí odkaz:
http://arxiv.org/abs/math/0009213
We prove finite generation of the cohomology ring of any finite dimensional pointed Hopf algebra, having abelian group of grouplike elements, under some mild restrictions on the group order. The proof uses the recent classification by Andruskiewitsch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c82a4489bb85299388b2de1d33bb61b4
http://arxiv.org/abs/0902.0801
http://arxiv.org/abs/0902.0801
Autor:
Gabriella Böhm, Dragoş Ştefan
In a recent paper arXiv:0705.3190, we gave a general construction of a para-cocyclic structure on a cosimplex, associated to a so called admissible septuple -- consisting of two categories, three functors and two natural transformations, subject to c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::821973cc7e7d79b1a153c8bcd770404b
Autor:
Rachel Taillefer
We prove that the category of Hopf bimodules over any Hopf algebra has enough injectives, which enables us to extend some results on the unification of Hopf bimodule cohomologies of [T1,T2] to the infinite dimensional case. We also prove that the cup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d5b5d630769a63b3762cc16462b687d
http://arxiv.org/abs/math/0207154
http://arxiv.org/abs/math/0207154