q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1))

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• ISSN: 1815-0659
• Main Authors: Asherova, R.M., Burdík, Č., Havlíček, M., Smirnov, Y.F., Tolstoy, V.N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146148
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra Uq(u(n,1)) / R.M. Asherova // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ.

For the quantum algebra Uq(gl(n+1)) in its reduction on the subalgebra Uq(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Zq(gl(n+1),gl(n)) is given in terms of the generators and their defining relations. Using this Z-algebra we describe Hermitian irreducible represent...