The nonstandard q-deformation of enveloping algebra U(so(n)): results and problems

Authors
Klimyk, AU
Citation
Au. Klimyk, The nonstandard q-deformation of enveloping algebra U(so(n)): results and problems, CZEC J PHYS, 51(4), 2001, pp. 331-340
Citations number
17
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
51
Issue
4
Year of publication
2001
Pages
331 - 340
Database
ISI
SICI code
0011-4626(200104)51:4<331:TNQOEA>2.0.ZU;2-0
Abstract
We describe properties of the nonstandard q-deformation U-q'(so(n)) of the universal enveloping algebra U(so(n)) of the Lie algebra so(n) which does n ot coincide with the Drinfeld-Jimbo quantum algebra U-q(so(n)) and is impor tant for quantum gravity. Many unsolved problems are formulated. Some of th ese problems are solved in special cases.