Samsonov, Maxim (2004) Universal R-matrices for generalized Jordanian r-matrices. PhD thesis, Concordia University.
|PDF - Accepted Version|
Quantization of classical integrable models by the Quantum Inverse Scattering Method requires transition from classical r -matrices to the quantum ones. The twists are the special elements in the algebra of observables, which help to build new classical and quantum r -matrices. In this thesis we develop an approach to explicit derivation of quasiclassical twists for higher dimensional analogs of Jordanian r -matrices. The twists are obtained as limits of more general quantum twists which allow a simple description. The considered class of r -matrices includes the skew-symmetric Cremmer-Gervais r -matrices as well as the extended Jordanian ones. The quantum analogs for both twists are obtained.
|Divisions:||Concordia University > Faculty of Arts and Science > Mathematics and Statistics|
|Item Type:||Thesis (PhD)|
|Pagination:||iii, 64 leaves ; 29 cm.|
|Degree Name:||Ph. D.|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Korotkin, D|
|Deposited By:||Concordia University Libraries|
|Deposited On:||18 Aug 2011 14:12|
|Last Modified:||18 Aug 2011 14:12|
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