Work

Duality for exotic bialgebras

Year: 2001

Type: article

Abstract: In the classification of Hietarinta, three triangular 4 × 4 R -matrices lead, via the FRT formalism, to matrix bialgebras which are not deformations of the trivial one. In this paper, we find the bialgebras which are in duality with these three exotic matrix bialgebras. We note that the L - T duality of FRT is not sufficient for the construction of the bialgebras in duality. We find also the quantum planes corresponding to these bialgebras both by the Wess-Zumino R -matrix method and by Manin's method.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/34/19/308

Authors: D Arnaudon, A Chakrabarti, V K Dobrev, S G Mihov

Institutions: Centre National de la Recherche Scientifique, Laboratoire d'Annecy de Physique Théorique, École Polytechnique, Centre de Physique Théorique, Bulgarian Academy of Sciences, Northumbria University, Institute for Nuclear Research and Nuclear Energy

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Centre National de la Recherche Scientifique

OpenAlex ID: W1987530133

FWCI: 3.604

Cites: 37

Cited by: 9

Related to: