20 citations · 97 across the 9 of their papers we have counts for
9 papers
Exotic Bialgebras from 9x9 Unitary Braid Matrices
B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1
We present the exotic bialgebras that arise from a 9x9 unitary braid matrix.
Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions
B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1
A class of multiparameter braid matrices are presented for all . Apart from the spectral parameter , they depend on free parameters $m…
Higher Dimensional Unitary Braid Matrices: Construction, Associated Structures and Entanglements
B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1
We construct unitary braid matrices for generalizing the class known for . A set of matrices are define…
Exotic bialgebras : non-deformation quantum groups
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the a…
Spectral Decomposition and Baxterisation of Exotic Bialgebras and Associated Noncommutative Geometries
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
We study the geometric aspects of two exotic bialgebras S03 and S14 introduced in math.QA/0206053. These bialgebras are obtained by the Faddeev-Reshetikhin-Takhtajan RTT prescripti…
Duality and Representations for New Exotic Bialgebras
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
We find the exotic matrix bialgebras which correspond to the two non-triangular nonsingular 4x4 R-matrices in the classification of Hietarinta, namely, R_{S0,3} and R_{S1,4}. We fi…