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A class of counterexamples to the Gel´fand-Kirillov conjecture |
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| Authors: | Jacques Alev Alfons Ooms Michel Van den Bergh |
| Institution: | Université de Reims, UFR des Sciences, Département de Mathématiques, Moulin de la Housse, BP 347, 51062 Reims Cedex ; Limburgs Universitair Centrum, Departement WNI, Universitaire Campus, 3590 Diepenbeek, Belgium ; Limburgs Universitair Centrum, Departement WNI, Universitaire Campus, 3590 Diepenbeek, Belgium |
| Abstract: | Let  be a connected non-special semisimple algebraic group and let  be a finite dimensional  -representation such that  has trivial generic stabilizer. Let  . Then the semi-direct product  is a counter-example to the Gel´fand-Kirillov conjecture. |
| Keywords: | Gel-fand-Kirillov conjecture |
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