Lie algebra of the q-poincaré group and q-heisenberg commutation relations

Paolo Aschieri

doi:10.1142/s021797929900271x

Lie algebra of the q-poincaré group and q-heisenberg commutation relations

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

Abstract

We discuss quantum orthogonal groups and their real forms. We review the construction of inhomogeneous orthogonal q-groups and their q-Lie algebras. The geometry of the q-Poincaré group naturally induces a well defined q-deformed Heisenberg algebra of hermitian q-Minkowski coordinates x^a and momenta p_a.

Lingua originale	Inglese
pagine (da-a)	2895-2902
Numero di pagine	8
Rivista	International Journal of Modern Physics B
Volume	13
Numero di pubblicazione	24-25
DOI	https://doi.org/10.1142/s021797929900271x
Stato di pubblicazione	Pubblicato - 1999
Pubblicato esternamente	Sì

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abstract = "We discuss quantum orthogonal groups and their real forms. We review the construction of inhomogeneous orthogonal q-groups and their q-Lie algebras. The geometry of the q-Poincar{\'e} group naturally induces a well defined q-deformed Heisenberg algebra of hermitian q-Minkowski coordinates xa and momenta pa.",

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AB - We discuss quantum orthogonal groups and their real forms. We review the construction of inhomogeneous orthogonal q-groups and their q-Lie algebras. The geometry of the q-Poincaré group naturally induces a well defined q-deformed Heisenberg algebra of hermitian q-Minkowski coordinates xa and momenta pa.

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Lie algebra of the q-poincaré group and q-heisenberg commutation relations

Abstract

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