On the Coherent State Method in Constructing Representations of Quantum Superalgebras
AbstractIn recent years, one of the new applications of the coherent state method was to con-struct representation of superalgebras and quantum superalgebras. Following this stream, we hada contribution to working out explicit representation of Uq[gl(2|1)]. Up to now, Uq[gl(2|1) is stillthe biggest quantum superalgebra representations in coherent state basis of which can be built. Inthis article, we will show some detailed techniques used in our previous work but useful for ourfurther investigations. The newest results on building representations in a coherent state basis ofUq[osp(2|2)], which has the same rank as Uq[gl(2|1)], are also briey exposed.
Download data is not yet available.
How to Cite
Kien, N. C., & Ky, N. A. (2013). On the Coherent State Method in Constructing Representations of Quantum Superalgebras. Communications in Physics, 23(1), 29. https://doi.org/10.15625/0868-3166/23/1/2616
LicenseAuthors who publish with CIP agree with the following terms:
- The manuscript is not under consideration for publication elsewhere. When a manuscript is accepted for publication, the author agrees to automatic transfer of the copyright to the editorial office.
- The manuscript should not be published elsewhere in any language without the consent of the copyright holders. Authors have the right to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of their work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are encouraged to post their work online (e.g., in institutional repositories or on their websites) prior to or during the submission process, as it can lead to productive exchanges or/and greater number of citation to the to-be-published work (See The Effect of Open Access).