dc.contributor.author |
Herlemont B. |
|
dc.contributor.author |
Ogievetsky O. |
|
dc.date.accessioned |
2018-04-05T07:10:17Z |
|
dc.date.available |
2018-04-05T07:10:17Z |
|
dc.date.issued |
2017 |
|
dc.identifier.uri |
http://dspace.kpfu.ru/xmlui/handle/net/130345 |
|
dc.description.abstract |
© 2017, Institute of Mathematics. All rights reserved. We construct the rings of generalized differential operators on the h-deformed vector space of gl-type. In contrast to the q-deformed vector space, where the ring of differential operators is unique up to an isomorphism, the general ring of h-deformed differential operators Diff h, σ (n) is labeled by a rational function σ in n variables, satisfying an over-determined system of finite-difference equations. We obtain the general solution of the system and describe some properties of the rings Diff h, σ (n). |
|
dc.subject |
Differential operators |
|
dc.subject |
Poincaré-Birkhoff-Witt property |
|
dc.subject |
Reduction algebras |
|
dc.subject |
Representation theory |
|
dc.subject |
Rings of fractions |
|
dc.subject |
Universal enveloping algebra |
|
dc.subject |
Yang-Baxter equation |
|
dc.title |
Differential calculus on h-deformed spaces |
|
dc.type |
Article |
|
dc.relation.ispartofseries-volume |
13 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.source.id |
SCOPUS-2017-13-SID85039043803 |
|