Toeplitz quantization of the quantum group SU q(2)

Stephen Bruce Sontz ()
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Stephen Bruce Sontz: Centro de Investigación en Matemáticas, A.C.

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 319-324 from Springer

Abstract: Abstract After a brief review of the general theory of Toeplitz quantization in a non-commutative setting, we present an example with the symbol space being the quantum group SU q(2). This includes creation and annihilation operators as well as their commutation relations. The general way for introducing Planck’s constant into this theory is also presented in the example. This seems to be the first example of a quantization of a quantum group.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_47

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DOI: 10.1007/978-3-319-69164-0_47

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