On the Deformation Theory of Structure Constants for Associative Algebras
An algebraic scheme for constructing deformations of structure constants for associative algebras generated by deformation driving algebras (DDAs) is discussed. An ideal of left divisors of zero plays a central role in this construction. Deformations of associative three-dimensional algebras with th...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2010/389091 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | An algebraic scheme for constructing deformations of structure constants
for associative algebras generated by deformation driving algebras
(DDAs) is discussed. An ideal of left divisors of zero plays a central role in
this construction. Deformations of associative three-dimensional algebras
with the DDA being a three-dimensional Lie algebra and their connection
with integrable systems are studied. |
|---|---|
| ISSN: | 1687-9120 1687-9139 |