V. Dobrev

activity

19922025

most citedIntertwining Operator Realization of the AdS/CFT Correspondence

92 citations · 601 across the 60 of their papers we have counts for

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13 papers · 1 filter

math.QA2016★ 1 cited

Multiparameter Quantum Minkowski Space-Time and Quantum Maxwell Equations Hierarchy

V. K. Dobrev

Earlier we have proposed new $q$ - Maxwell equations which are the first members of an infinite new hierarchy of $q$ - difference equations. We have used an indexless formulation i…

math.QA2008

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.

math.QA2007★ 14 cited

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1

A class of $(2 n)^{2} \times (2 n)^{2}$ multiparameter braid matrices are presented for all $n$ $(n \geq 1)$ . Apart from the spectral parameter $θ$ , they depend on $2 n^{2}$ free parameters $m…

math.QA2007★ 12 cited

Higher Dimensional Unitary Braid Matrices: Construction, Associated Structures and Entanglements

B. Abdesselam, A. Chakrabarti, V. K. Dobrev +1

We construct $(2 n)^{2} \times (2 n)^{2}$ unitary braid matrices $R^$ for $n \geq 2$ generalizing the class known for $n = 1$ . A set of $(2 n) \times (2 n)$ matrices $(I, J, K, L)$ are define…

math.QA2007★ 1 cited

On a "New" Deformation of GL(2)

A. Chakrabarti, V. K. Dobrev, S. G. Mihov

We refute a recent claim in the literature of a "new" quantum deformation of GL(2).

math.QA2006★ 5 cited

Exotic Bialgebra S03: Representations, Baxterisation and Applications

D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1

The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra $s 0 3_{F}$ is studied. The…