Representations of Algebras
Document Type
Oral Presentation
Campus where you would like to present
Ellensburg
Event Website
https://digitalcommons.cwu.edu/source
Start Date
16-5-2021
End Date
22-5-2021
Keywords
Dense, Algebras, Computer algorithm
Abstract
Arbitrary finite dimensional K-algebras have been classified into three types by the famous theorem of Drozd by their representation type. These categories are Representation Finite, Tame, and Wild. Our focus is on Algebras of Wild Representation type. As the name suggest, the indecomposable representations of these algebras are not feasible to classify. In fact, it’s impossible. However, Dense Orbit Algebras that are of wild representation type seem to have finitely many representations (up to a certain equivalence) that satisfy a geometric property. There are very few examples of such algebras in the current literature. We explore a particular algebra of wild representation type and show, via a computational algorithm, that the algebra is a Dense Orbit Algebra.
Recommended Citation
Andonie, Adara, "Representations of Algebras" (2021). Symposium Of University Research and Creative Expression (SOURCE). 69.
https://digitalcommons.cwu.edu/source/2021/COTS/69
Department/Program
Mathematics
Additional Mentoring Department
https://cwu.studentopportunitycenter.com/representations-of-algebras/
Representations of Algebras
Ellensburg
Arbitrary finite dimensional K-algebras have been classified into three types by the famous theorem of Drozd by their representation type. These categories are Representation Finite, Tame, and Wild. Our focus is on Algebras of Wild Representation type. As the name suggest, the indecomposable representations of these algebras are not feasible to classify. In fact, it’s impossible. However, Dense Orbit Algebras that are of wild representation type seem to have finitely many representations (up to a certain equivalence) that satisfy a geometric property. There are very few examples of such algebras in the current literature. We explore a particular algebra of wild representation type and show, via a computational algorithm, that the algebra is a Dense Orbit Algebra.
https://digitalcommons.cwu.edu/source/2021/COTS/69
Faculty Mentor(s)
Danny Lara