From slq(2) to a Parabosonic Hopf Algebra

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Tsujimoto, S., Vinet, L., Zhedanov, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147403
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From slq(2) to a Parabosonic Hopf Algebra / S. Tsujimoto, L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 24 назв. — англ.

A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated by sl₋₁(2), this algebra encompasses the Lie superalgebra osp(1|2). It is...