Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Details Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

2007-06-19

arxiv.org/abs/0706.2787v2

J.Math.Phys.48:103505,2007

Mathematics

Quantum Algebra

07 pages

Scientific paper

10.1063/1.2793571

A class of $(2n)^2\times(2n)^2$ multiparameter braid matrices are presented for all $n$ $(n\geq 1)$. Apart from the spectral parameter $\theta$, they depend on $2n^2$ free parameters $m_{ij}^{(\pm)}$, $i,j=1,...,n$. For real parameters the matrices $R(\theta)$ are nonunitary. For purely imaginary parameters they became unitary. Thus a unification is achieved with odd dimensional multiparameter solutions presented before.

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