Back to Search
Start Over
A Construction of Deformations to General Algebras.
- Source :
-
IMRN: International Mathematics Research Notices . Jun2024, Vol. 2024 Issue 12, p9827-9848. 22p. - Publication Year :
- 2024
-
Abstract
- One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but related question, namely: for a given associative finite-dimensional |${\mathbb{C}}$| -algebra |$A$| , find algebras |$N$| , which can be deformed to |$A$|. We develop a simple method that produces associative and flat deformations to investigate this question. As an application of this method we answer a question of Michael Wemyss about deformations of contraction algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*DEFORMATIONS (Mechanics)
*ASSOCIATIVE algebras
*C*-algebras
Subjects
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2024
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 178321426
- Full Text :
- https://doi.org/10.1093/imrn/rnae077