514 research outputs found
VII, III, VI
Operadic Lax representations for the harmonic oscillator are used to
construct the quantum counterparts of some 3d real Lie algebras in Bianchi
classification. The Jacobians of these quantum algebras are studied. It is
conjectured that the tangent algebras of these quantum algebras are the
Heisenberg algebra. From this it follows that the volume element in
is quantized by ,
(). Thus, the elementary (minimal) length in this model is
.Comment: LaTeX2e, 9pp, 10 Refs. v10: the original version restored and
improved, Refs updated. Text proceeds arXiv:0901.4064, arXiv:0807.0428,
arXiv:0806.134
Note on Moufang-Noether currents
The derivative Noether currents generated by continuous Moufang
tranformations are constructed and their equal-time commutators are found. The
corresponding charge algebra turns out to be a birepresentation of the tangent
Mal'ltsev algebra of an analytic Moufang loop.Comment: LaTeX2e, 6 pages, no figures, presented on "The XVth International
Colloquium on Integrable Systems and Quantum Symmetries, Prague, 15-17 June,
2006
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