Published 1975
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Canonical realization of the Lie algebras gl(n,R) and sl(n,R)
Description
The generators of the Lie algebra of the general linear group gl(n,R) and of the special linear group sl(n,R) are, recurrently, expressed through polynomials in the quantum canonical variables psub(i) and qsub(i). These realizations are skew-hermitean, the Casimir operators are realized by constant multiples of identity element and, in dependence upon the number of the canonical pairs used, they depend onk(k-1 for sl(n,R)), k=2,...,n free real parameters
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Additional details
Additional titles
- Subtitle (English)
- 1. Formulae and classification
- Original title (no language)
- Kanonicheskie realizatsii algebr Li gl(n,R) i sl(n,R)
- Original subtitle (no language)
- 1. Formuly i klassifikatsiya.
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- JINR-E--2-8646
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 7273986
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CANONICAL TRANSFORMATIONS; CASIMIR OPERATORS; HERMITIAN OPERATORS; LIE GROUPS; POLYNOMIALS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS; SYMMETRY GROUPS
Optional Information
- Notes
- 6 refs.; submitted to the journal Rep. Math. Phys.