Abstract
dc:description.abstract<p>Let k be a field of characteristic 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras </p><p>sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,</p><p>exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along the way we describe an explicit monomial basis for the Koszul dual of sGor(N) for N≥2.</p>
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy (PhD)
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2021
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Ohanyan, Mkrtich
- Contributors dc:contributor
-
- Claudia Miller
- Benjamin Briggs
Subjects
dc:subject × 5Identifiers
dc:identifier.*- Repository record dc:identifier
- https://surface.syr.edu/etd/1324
- OAI identifier oai:identifier
- oai:surface.syr.edu:etd-2325