130 research outputs found
BRST Algebra Quantum Double and Quantization of the Proper Time Cotangent Bundle
The quantum double for the quantized BRST superalgebra is studied. The
corresponding R-matrix is explicitly constucted. The Hopf algebras of the
double form an analytical variety with coordinates described by the canonical
deformation parameters. This provides the possibility to construct the
nontrivial quantization of the proper time supergroup cotangent bundle. The
group-like classical limit for this quantization corresponds to the generic
super Lie bialgebra of the double.Comment: 11 pages, LaTe
Jordanian Quantum Algebra via Contraction Method and Mapping
Using the contraction procedure introduced by us in Ref. \cite{ACC2}, we
construct, in the first part of the present letter, the Jordanian quantum Hopf
algebra which has a remarkably simple coalgebraic
structure and contains the Jordanian Hopf algebra ,
obtained by Ohn, as a subalgebra. A nonlinear map between and the classical algebra is then established. In the second
part, we give the higher dimensional Jordanian algebras for all . The Universal -matrix of is also given.Comment: 17 pages, Late
Chains of Frobenius subalgebras of so(M) and the corresponding twists
Chains of extended jordanian twists are studied for the universal enveloping
algebras U(so(M)). The carrier subalgebra of a canonical chain F cannot cover
the maximal nilpotent subalgebra N(so(M)). We demonstrate that there exist
other types of Frobenius subalgebras in so(M) that can be large enough to
include N(so(M)). The problem is that the canonical chains F do not preserve
the primitivity on these new carrier spaces. We show that this difficulty can
be overcome and the primitivity can be restored if one changes the basis and
passes to the deformed carrier spaces. Finally the twisting elements for the
new Frobenius subalgebras are explicitly constructed. This gives rise to a new
family of universal R-matrices for orthogonal algebras. For a special case of g
= so(5) and its defining representation we present the corresponding matrix
solution of the Yang-Baxter equation.Comment: 17 pages, Late
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