Université Mustapha Stambouli de Mascara

most citedHigher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

14 citations

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4 papers

math.QA2008★ 4 cited

A new eight vertex model and higher dimensional, multiparameter generalizations

B. Abdesselam, A. Chakrabarti

We study statistical models, specifically transfer matrices corresponding to a multiparameter hierarchy of braid matrices of $(2 n)^{2} \times (2 n)^{2}$ dimensions with $2 n^{2}$ free parame…

hep-th2007★ 1 cited

New connection formulae for some q-orthogonal polynomials in q-Askey scheme

Abdelkader Yanallah, Mohammed Brahim Zahaf

New nonlinear connection formulae of the q-orthogonal polynomials, such continuous q-Laguerre, continuous big q-Hermite, q-Meixner-Pollaczek and q-Gegenbauer polynomials, in terms…

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…