Realization of vector fields for quantum groups as pseudodifferential operators on quantum spaces
Conference
·
OSTI ID:10125565
The vector fields of the quantum Lie algebra are described for the quantum groups GL{sub q}(n), SL{sub q}(N) and SO{sub q}(N) as pseudodifferential operators on the linear quantum spaces covariant under the corresponding quantum group. Their expressions are simple and compact. It is pointed out that these vector fields satisfy certain characteristic polynomial identities. The real forms SU{sub q}(N) and SO{sub q}(N,R) are discussed in detail.
- Research Organization:
- Lawrence Berkeley Lab., CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 10125565
- Report Number(s):
- LBL-36746; CONF-950175-1; ON: DE95008485; CNN: GRANT PHY-90-21139
- Resource Relation:
- Conference: 20. international conference on group theory methods in physics,Toyonak (Japan),24 Jan 1995; Other Information: PBD: 24 Jan 1995
- Country of Publication:
- United States
- Language:
- English
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