7,940 research outputs found
Realisations of Quantum GL_p,q(2) and Jordanian GL_h,h'(2)
The quantum group GL_p,q(2) is known to be related to the Jordanian
GL_h,h'(2) via a contraction procedure. It can also be realised using the
generators of the Hopf algebra G_r,s. We contract the G_r,s quantum group to
obtain its Jordanian analogue G_m,k, which provides a realisation of GL_h,h'(2)
in a manner similar to the q-deformed case.Comment: 6 pages LaTex, Contribution to Proceedings of "8th International
Colloquium on Quantum Groups and Integrable Systems", Prague, June 17 - 19,
199
Two-Parameter Differential Calculus on the h-Exterior Plane
We construct a two-parameter covariant differential calculus on the quantum
-exterior plane. We also give a deformation of the two-dimensional fermionic
phase space.Comment: 7 page
Detection of moisture and moisture related phenomena from Skylab
There are no author-identified significant results in this report
Contraction of the G_r,s Quantum Group to its Nonstandard analogue and corresponding Coloured Quantum Groups
The quantum group G_r,s provides a realisation of the two parameter quantum
GL_p,q(2) which is known to be related to the two parameter nonstandard
GL_hh'(2) group via a contraction method. We apply the contraction procedure to
G_r,s and obtain a new Jordanian quantum group G_m,k. Furthermore, we provide a
realisation of GL_h,h'(2) in terms of G_m,k. The contraction procedure is then
extended to the coloured quantum group GL_r{\lambda,\mu}(2) to yield a new
Jordanian quantum group GL_m{\lambda,\mu}(2). Both G_r,s and G_m,k are then
generalised to their coloured versions which inturn provide similar
realisations of GL_r{\lambda,\mu}(2) and GL_m{\lambda,\mu}(2).Comment: 22 pages LaTeX, to be published in J. Math. Phy
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