Quantization of Poisson SU(2)

Albert Jeu-Liang Sheu
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Albert Jeu-Liang Sheu: University of Kansas, Department of Mathematics

A chapter in Algebraic Methods in Operator Theory, 1994, pp 296-304 from Springer

Abstract: Abstract In this paper, we describe and compare two different C*-algebraic deformation quantizations (in Rieffel’s sense [Rl, R2, R3]) of the ‘multiplicative’ Poisson structure on the Lie group SU(2), which are ‘compatible’ with Woronowicz’s C*-algebraic quantization [Wol, Wo2] of the group structure of SU(2) by pseudogroups (or quantum groups). Due to the space limitation, in this paper we only describe the results and leave their proof to a separate paper [Sh3].

Keywords: Quantum Group; Toeplitz Operator; Regular Function; Poisson Structure; Deformation Quantization (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0255-4_29

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DOI: 10.1007/978-1-4612-0255-4_29

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