Degenerate Series Representations of the q-Deformed Algebra so'q(r,s)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Groza, V.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147377
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Degenerate Series Representations of the q-Deformed Algebra so'q(r,s) / V.A. Groza // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ.

The q-deformed algebra so'q(r,s) is a real form of the q-deformed algebra Uq'(so(n,C)), n = r + s, which differs from the quantum algebra Uq(so(n,C)) of Drinfeld and Jimbo. We study representations of the most degenerate series of the algebra so'q(r,s). The formulas of action of opera...