Tensor representation of the quantum group SLq(2,C) and quantum Minkowski space

U. Carow-Watamura, M. Schlieker, M. Scholl, S. Watamura

Research output: Contribution to journalArticlepeer-review

119 Citations (Scopus)

Abstract

We investigate the structure of the tensor product representation of the quantum group SLq(2,C) by using the 2-dimensional quantum plane as a building block. Two types of 4-dimensional spaces are constructed applying the methods used in twistor theory. We show that the 4-dimensional real representation of SLq(2,C) generates a consistent non-commutative algebra, and thus it provides a quantum deformation of Minkowski space. The transformation of this 4-dimensional space gives the quantum Lorentz group SOq(3, 1).

Original languageEnglish
Pages (from-to)159-165
Number of pages7
JournalZeitschrift für Physik C Particles and Fields
Volume48
Issue number1
DOIs
Publication statusPublished - 1990 Mar 1
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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