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arXiv · 2206.14040

Rationality of adjoint orbits

Vladimir L. Popov
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Abstract

We prove that every orbit of the adjoint representation of any connected reductive algebraic group $G$ is a rational algebraic variety. For complex simply connected semisimple $G$, this implies rationality of affine Hamiltonian $G$-varieties (which we classify).

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Vladimir L. Popov. 2022-06-28. Rationality of adjoint orbits. https://arxiv.org/abs/2206.14040

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