Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras

Details Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras

1996-12-17

arxiv.org/abs/q-alg/9612022v2

J.Phys.A30:3069-3086,1997

Mathematics

Quantum Algebra

LaTeX file, 20 pages. Trivial changes. To appear in J. Phys. A

Scientific paper

10.1088/0305-4470/30/9/018

A family of deformed Hopf algebras corresponding to the classical maximal
isometry algebras of zero-curvature N-dimensional spaces (the inhomogeneous
algebras iso(p,q), p+q=N, as well as some of their contractions) are shown to
have a bicrossproduct structure. This is done for both the algebra and, in a
low-dimensional example, for the (dual) group aspects of the deformation.

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