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- W2949676851 abstract "We quantise a Poisson structure on H^{n+2g}, where H is a semidirect product group of the form $Gltimesmathfrak{g}^*$. This Poisson structure arises in the combinatorial description of the phase space of Chern-Simons theory with gauge group $Gltimesmathfrak{g}^*$ on $R times S_{g,n}$, where S_{g,n} 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 $Gltimesmathfrak{g}^*$. 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." @default.
- W2949676851 created "2019-06-27" @default.
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- W2949676851 date "2003-10-23" @default.
- W2949676851 modified "2023-09-25" @default.
- W2949676851 title "The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $Gltimes mathfrak{g}^*$" @default.
- W2949676851 hasPublicationYear "2003" @default.
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