Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Øyvind Solberg"'
Publikováno v:
Journal of Algebra
It has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We show that in general no such version can exist. In particular, we show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12b7110639527a44bcad7149b6295a3e
https://doi.org/10.1016/j.jalgebra.2019.10.059
https://doi.org/10.1016/j.jalgebra.2019.10.059
Publikováno v:
Journal of Algebra. 527:366-398
Let p be a prime, and k be a field of characteristic p. We investigate the algebra structure and the structure of the cohomology ring for the connected Hopf algebras of dimension p 3 , which appear in the classification obtained in [20] . The list co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::706ca0bdd42b9196fa905bfa0b67cb36
https://doi.org/10.1016/j.jalgebra.2019.02.030
https://doi.org/10.1016/j.jalgebra.2019.02.030
In recent years, triangulated categories have proved very successful as a common mathematical framework for formulating important advances in various fields, and at the same time for the interaction between different subject areas. The purpose of the
Autor:
Øyvind Solberg, Osamu Iyama
Publikováno v:
Advances in Mathematics. 326:200-240
We generalize the notions of n-cluster tilting subcategories and τ-selfinjective algebras into n-precluster tilting subcategories and τ n -selfinjective algebras, where we show that a subcategory naturally associated to n-precluster tilting subcate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::431f14a6ba7da6327544a5cafd6ad2ea
https://doi.org/10.1016/j.aim.2017.11.025
https://doi.org/10.1016/j.aim.2017.11.025
Autor:
Øyvind Solberg
Publikováno v:
Surveys in Representation Theory of Algebras. :155-172
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b8e1dbfab8a888dd20b6a404eb5ee22
https://doi.org/10.1090/conm/716/14428
https://doi.org/10.1090/conm/716/14428
Publikováno v:
Mathematische Zeitschrift
We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated by examples, taken in p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb9785f6e7ce219c1ba6969868dd4deb
https://hdl.handle.net/11250/2639673
https://hdl.handle.net/11250/2639673
In this paper we develop new reduction techniques for testing the finiteness of the finitistic dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a quotient of a path algebra, we propose two operations on the quiver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d79b711d8f322547491d15a759c5fff2
http://arxiv.org/abs/1808.03564
http://arxiv.org/abs/1808.03564
Publikováno v:
Transactions of the American Mathematical Society, Series B. 1:45-95
Given an artin algebra Λ \Lambda with an idempotent element a a we compare the algebras Λ \Lambda and a Λ a a\Lambda a with respect to Gorensteinness, singularity categories and the finite generation condition Fg \mathrm {\textsf {Fg}} for the Hoc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd9eda228bdeea0957920fb01c794a29
https://doi.org/10.1090/s2330-0000-2014-00004-6
https://doi.org/10.1090/s2330-0000-2014-00004-6
Support varieties for any finite dimensional algebra over a field were introduced by Snashall-Solberg using graded subalgebras of the Hochschild cohomology. We mainly study these varieties for selfinjective algebras under appropriate finite generatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98eeaf6482e6e64822da910782649e1d
https://ora.ox.ac.uk/objects/uuid:e8c4c4f8-4b2b-4df4-9b54-3b756d8724da
https://ora.ox.ac.uk/objects/uuid:e8c4c4f8-4b2b-4df4-9b54-3b756d8724da