Meusburger C, Schroers B (2004)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2004
Publisher: International Press
Book Volume: 7
Pages Range: 1003-1042
Journal Issue: 6
URI: https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=11944255902&origin=inward
We quantise a Poisson structure on H, where H is a semidirect product group of the form G × g*. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simons theory with gauge group G ⋉ g* on R × S, where S is a surface of genus g with n punctures. The quantisation of this Poisson structure is a key step in the quantisation of Chern-Simons theory with gauge group G × g*. We construct the quantum algebra and its irreducible representations and show that the quantum double D(G) of the group G arises naturally as a symmetry of the quantum algebra. © 2002 International Press.
APA:
Meusburger, C., & Schroers, B. (2004). The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*. Advances in Theoretical and Mathematical Physics, 7(6), 1003-1042.
MLA:
Meusburger, Cathérine, and Bernd Schroers. "The quantisation of poisson structures arising in chern-simons theory with gauge group G x g*." Advances in Theoretical and Mathematical Physics 7.6 (2004): 1003-1042.
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