52 citations · 270 across the 29 of their papers we have counts for
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Cayley-Klein Poisson homogeneous spaces
Francisco J. Herranz, Angel Ballesteros, Ivan Gutierrez-Sagredo +1
The nine two-dimensional Cayley-Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogene…
Drinfel'd double structures for Poincaré and Euclidean groups
Ivan Gutierrez-Sagredo, Angel Ballesteros, Francisco J. Herranz
All non-isomorphic three-dimensional Poisson homogeneous Euclidean spaces are constructed and analyzed, based on the classification of coboundary Lie bialgebra structures of the Eu…
The Poincaré group as a Drinfel'd double
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The eight nonisomorphic Drinfel'd double (DD) structures for the Poincaré Lie group in (2+1) dimensions are explicitly constructed in the kinematical basis. Also, the two existing…