Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl
Preferences help
Polish version English version Language
enabled [disable] Abstract
Number of results

Results found: 3

Number of results on page
first rewind previous Page / 1 next fast forward last

Search results

Search:
in the keywords:  quantum groups
help Sort By:

help Limit search:
first rewind previous Page / 1 next fast forward last
1
Content available remote

The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra

100%
Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 1
131-134
EN
In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.
2
Content available remote

The multi-dimensional q-deformed bosonic Newton oscillator and its inhomogeneous quantum invariance group

100%
Altıntaş A., Arık M., Arıkan A.
Open Physics
|
2010
|
vol. 8
|
issue 5
819-824
EN
We obtain the inhomogeneous invariance quantum group for the multi-dimensional q-deformed bosonic Newton oscillator algebra. The homogenous part of this quantum group is given by the multiparameter quantum group $$ GL_{X;q_{ij} } $$ of Schirrmacher where q ij’s take some special values. We find the R-matrix which gives the non-commuting structure of the quantum group for the two dimensional case.
3
Content available remote

Degenerate Sklyanin algebras

80%
Smirnov A.
Open Physics
|
2010
|
vol. 8
|
issue 4
542-554
EN
New trigonometric and rational solutions of the quantum Yang-Baxter equation (QYBE) are obtained by applying some singular gauge transformations to the known Belavin-Drinfeld elliptic R-matrix for sl(2;?). These solutions are shown to be related to the standard ones by the quasi-Hopf twist. We demonstrate that the quantum algebras arising from these new R-matrices can be obtained as special limits of the Sklyanin algebra. A representation for these algebras by the difference operators is found. The sl(N;?)-case is discussed.
first rewind previous Page / 1 next fast forward last
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.