Who Am I ?
I am currectly a PhD student in the Groups and Quantization team of the Laboratoire Mathématiques de Reims (UMR 9008) under the supervision of Rupert Yu. My thesis focuses on the study of adjoint orbits in generalized Takiff algebras.
Generalized Takiff Lie algebras
Given a natural number \(m\) and a finite-dimensional complex Lie algebra \(\mathfrak{g}\), the \(m^{th}\) generalized Takiff algebra of \(\mathfrak{g}\) is the Lie algebra \(\mathfrak{g}_m:=\mathfrak{g}\otimes\mathbb{C}[T]/T^{m+1}\). These Lie algebras were introduced by Takiff in 1971 for \(m=1\) and \(\mathfrak{g}\) semisimple, giving an example of a non-reducing Lie algebra whose symmetric invariants form a polynomial ring. The generalization to any \(m\) is due to Raïs and Tauvel in 1992.
Contact
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