After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to each complex simple Lie algebra, larger classes of quasitriangular Hopf algebras as been found and studied. We prove that the multiparameter quantum groups defined by Reshetikhin and De Concini-Kac-Procesi are indeed equivalent. Besides we write this algebra as the quantum double of a Borel-type sub-Hopf-algebra.
Quantum double and multiparameter quantum groups
COSTANTINI, MAURO;
1994
Abstract
After Drinfel'd and Jimbo's construction of quantized universal enveloping algebra associated to each complex simple Lie algebra, larger classes of quasitriangular Hopf algebras as been found and studied. We prove that the multiparameter quantum groups defined by Reshetikhin and De Concini-Kac-Procesi are indeed equivalent. Besides we write this algebra as the quantum double of a Borel-type sub-Hopf-algebra.File in questo prodotto:
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