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• W2074414354 abstract "We showed that there is a complete analogue of a representation of the quantum plane B_q where |q|=1, with the classical ax+b group. We showed that the Fourier Transform of the representation of B_q on H=L^2(R) has a limit (in the dual co-representation) towards the Mellin transform of the unitary representation of the ax+b group, and furthermore the intertwiners of the tensor products representation has a limit towards the intertwiners of the Mellin transform of the classical ax+b representation. We also wrote explicitly the multiplicative unitary defining the quantum ax+b semigroup and showed that it defines the co-representation that is dual to the representation of B_q above, and also correspond precisely to the classical family of unitary representation of the ax+b group." @default.
• W2074414354 created "2016-06-24" @default.
• W2074414354 creator A5046883206 @default.
• W2074414354 date "2010-12-19" @default.
• W2074414354 modified "2023-09-27" @default.
• W2074414354 title "The Classical Limit of Representation Theory of the Quantum Plane" @default.
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