Journal article icon

Journal article

Higher tetrahedral algebras

Abstract:
We introduce and study the higher tetrahedral algebras, an exotic family of finite-dimensional tame symmetric algebras over an algebraically closed field. The Gabriel quiver of such an algebra is the triangulation quiver associated to the coherent orientation of the tetrahedron. Surprisingly, these algebras occurred in the classification of all algebras of generalized quaternion type, but are not weighted surface algebras. We prove that a higher tetrahedral algebra is periodic if and only if it is non-singular.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

Actions


Access Document


Files:
Publisher copy:
10.1007/s10468-018-9772-x

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science; Mathematical Institute
Oxford college:
Somerville College
Skowroński, A More by this author
Publisher:
Springer Publisher's website
Journal:
Algebras and Representation Theory Journal website
Volume:
22
Issue:
2
Pages:
387–406
Publication date:
2018-02-20
Acceptance date:
2018-02-07
DOI:
EISSN:
1572-9079
ISSN:
1386-923X
Pubs id:
pubs:827263
URN:
uri:1f101095-098b-427f-b7e1-c41f23579505
UUID:
uuid:1f101095-098b-427f-b7e1-c41f23579505
Local pid:
pubs:827263

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP