Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Darpö, Erik"'
Autor:
Darpö, Erik, Kringeland, Tor
We give a complete classification of all d-representation-finite symmetric Nakayama algebras, and of all d-representation-finite trivial extensions of path algebras of quivers, over an arbitrary field.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2103.15380
Autor:
Darpö, Erik, Mitrović, Melanija
We give a constructive treatment of some basic concepts and results in semigroup theory. Focusing on semigroups equipped with an apartness relation, we give analogues, from the point of view of apartness, of several classical constructions and result
Externí odkaz:
http://arxiv.org/abs/2103.07105
We study periodicity and twisted periodicity of the trivial extension algebra $T(A)$ of a finite-dimensional algebra $A$. Our main results show that (twisted) periodicity of $T(A)$ is equivalent to $A$ being (twisted) fractionally Calabi-Yau of finit
Externí odkaz:
http://arxiv.org/abs/2012.11927
Autor:
Darpö, Erik, Iyama, Osamu
Publikováno v:
Adv. Math. 362 (2020), 106932
In this paper, we initiate the study of higher-dimensional Auslander-Reiten theory of self-injective algebras. We give a systematic construction of (weakly) $d$-representation-finite self-injective algebras as orbit algebras of the repetitive categor
Externí odkaz:
http://arxiv.org/abs/1702.01866
Autor:
Darpö, Erik, Nystedt, Patrik
Publikováno v:
Algebras and Representation Theory 2020
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. We show that all finite-dimensional alternative algebras, as well as all algebras obtained from the real numbers via the standard Cayley
Externí odkaz:
http://arxiv.org/abs/1608.04898
Autor:
Darpö, Erik
In spite of its 150 years history, the problem of classifying all finite-dimensional division algebras over a field k is still unsolved whenever k is not algebraically closed. The present thesis concerns some different aspects of this problem, and th
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-9536
The present article is concerned with division algebras that are structurally close to alternative algebras, in the sense that they satisfy some identity or other algebraic property that holds for all alternative division algebras. Motivated by Belou
Externí odkaz:
http://arxiv.org/abs/1205.6250
Autor:
Darpö, Erik, Gill, Christopher C.
While the finite-dimensional modules of the dihedral 2-groups over fields of characteristic 2 were classified over 30 years ago, very little is known about the tensor products of such modules. In this article, we compute the Loewy length of the tenso
Externí odkaz:
http://arxiv.org/abs/1202.5385