Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

Abdesselam, B.; Chakrabarti, A.; Dobrev, V.K.; Mihov, S.G.

doi:10.1063/1.2793571

Higher Dimensional Multiparameter Unitary and Nonunitary Braid Matrices: Even Dimensions

B. Abdesselam
(
- Mascara U. and
- Oran U.
)
,
A. Chakrabarti
(
- Ecole Polytechnique, CPHT
)
,
V.K. Dobrev
(
- Sofiya, Inst. Nucl. Res. and
- ICTP, Trieste
)
,
S.G. Mihov
(
- Sofiya, Inst. Nucl. Res.
)

Jun, 2007

7 pages

Published in:

J.Math.Phys. 48 (2007) 103505

e-Print:

0706.2787 [math.QA]

DOI:

10.1063/1.2793571

Report number:

RR-047-0607

View in:

pdf

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Abstract: (arXiv)

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.

matrix algebra

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Figures(0)

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