New time-type and space-type non-standard quantum algebras and discrete symmetries
نویسندگان
چکیده
منابع مشابه
New time-type and space-type non-standard quantum algebras and discrete symmetries
Starting from the classical r-matrix of the non-standard (or Jordanian) quantum deformation of the sl(2,R) algebra, new triangular quantum deformations for the real Lie algebras so(2, 2), so(3, 1) and iso(2, 1) are simultaneously constructed by using a graded contraction scheme; these are realized as deformations of conformal algebras of (1 + 1)-dimensional spacetimes. Timetype and space-type q...
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The minimal twist map introduced by Abdesselam et al [1] for the nonstandard (Jordanian) quantum sl(2,R) algebra is used to construct the twist maps for two different non-standard quantum deformations of the (1+1) Schrödinger algebra. Such deformations are, respectively, the symmetry algebras of a space and a time uniform lattice discretization of the (1 + 1) free Schrödinger equation. It is sh...
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Two new quantum anti-de Sitter so(4, 2) and de Sitter so(5, 1) algebras are presented. These deformations are called either ‘time-type’ or ‘space-type’ according to the dimensional properties of the deformation parameter. Their Hopf structure, universal R matrix and differential-difference realization are obtained in a unified setting by considering a contraction parameter related to the speed ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2000
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/33/46/305