R matrix and bicovariant calculus for the inhomogeneous quantum groups IGLq(n)

Leonardo Castellani

doi:10.1016/0370-2693(93)91829-C

R matrix and bicovariant calculus for the inhomogeneous quantum groups IGL_q(n)

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We find the R matrix for the inhomogeneous quantum groups whose homogeneous part is GL_q(n), or its restrictions to SL_q(n), U_q(n) and SU_q(n). The quantum Yang-Baxter equation for R holds because of the Hecke relation for the braiding matrix of homogeneous subgroup. A bicovariant differential calculus on IGL_q(n) is constructed, and its application to the D = 4 Poincaré group ISL_q(2, C) is discussed.

Lingua originale	Inglese
pagine (da-a)	335-338
Numero di pagine	4
Rivista	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	298
Numero di pubblicazione	3-4
DOI	https://doi.org/10.1016/0370-2693(93)91829-C
Stato di pubblicazione	Pubblicato - 14 gen 1993
Pubblicato esternamente	Sì

Accesso al documento

10.1016/0370-2693(93)91829-C

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