Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension

Paolo Aschieri

doi:10.1023/A:1007636508798

Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension

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

Abstract

We review known real forms of the quantum orthogonal groups SO_q(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SO_q(N) that is complementary to the U_q(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SO_q(N - 1, 1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed.

Lingua originale	Inglese
pagine (da-a)	1-15
Numero di pagine	15
Rivista	Letters in Mathematical Physics
Volume	49
Numero di pubblicazione	1
DOI	https://doi.org/10.1023/A:1007636508798
Stato di pubblicazione	Pubblicato - 1 lug 1999
Pubblicato esternamente	Sì

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title = "Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension",

abstract = "We review known real forms of the quantum orthogonal groups SOq(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SOq(N) that is complementary to the Uq(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SOq(N - 1, 1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed.",

keywords = "Automorphisms, Real forms, q-Lorentz group, q-Minkowski space",

author = "Paolo Aschieri",

note = "Funding Information: This work has been supported by an INFN post-doctoral grant (concorso No. 6077/96). It has been accomplished through the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03-76SF00098 and by the National Science Foundation under grant PHY-95-14797.",

year = "1999",

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doi = "10.1023/A:1007636508798",

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PY - 1999/7/1

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N2 - We review known real forms of the quantum orthogonal groups SOq(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SOq(N) that is complementary to the Uq(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SOq(N - 1, 1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed.

AB - We review known real forms of the quantum orthogonal groups SOq(N). New *-conjugations are then introduced and we contruct all real forms of quantum orthogonal groups. We thus give an RTT formulation of the *-conjugations on SOq(N) that is complementary to the Uq(g) *-structure classification of Twietmeyer. In particular, we easily find and describe the real forms SOq(N - 1, 1) for any value of N. Quantum subspaces of the q-Minkowski space are analyzed.

KW - Automorphisms

KW - Real forms

KW - q-Lorentz group

KW - q-Minkowski space

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DO - 10.1023/A:1007636508798

M3 - Review article

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SP - 1

EP - 15

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1

ER -

Real forms of quantum orthogonal groups, q-Lorentz groups in any dimension

Abstract

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