Published January 24, 1995
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Realization of vector fields for quantum groups as pseudodifferential operators on quantum spaces
Description
The vector fields of the quantum Lie algebra are described for the quantum groups GLq(n), SLq(N) and SOq(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 SUq(N) and SOq(N,R) are discussed in detail
Availability note (English)
MF available from INIS under the Report Number; Also available from OSTI as DE95008485; NTIS; US Govt. Printing Office Dep.Files
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Additional details
Publishing Information
- Imprint Pagination
- 16 p.
- Report number
- LBL--36746
Conference
- Title
- 20. international conference on group theory methods in physics.
- Dates
- 24 Jan 1995.
- Place
- Toyonak (Japan).
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 26048109
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- COMMUTATION RELATIONS; LIE GROUPS; QUANTUM MECHANICS; QUANTUM OPERATORS; VECTOR FIELDS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MECHANICS; SYMMETRY GROUPS
Optional Information
- Contract/Grant/Project number
- Contract AC03-76SF00098; GRANT PHY-90-21139
- Funding organization
- USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States).
- Secondary number(s)
- CONF-950175--1.