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arXiv · 1703.00880

A remark on Mishchenko-Fomenko algebras and regular sequences

Anne Moreau
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Abstract

In this note, we show that the free generators of the Mishchenko-Fomenko subalgebra of a complex reductive Lie algebra, constructed by the argument shift method at a regular element, form a regular sequence. This result was proven by Serge Ovsienko in the type A at a regular and semisimple element. Our approach is very different, and is strongly based on geometric properties of the nilpotent bicone.

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Anne Moreau. 2017-03-02. A remark on Mishchenko-Fomenko algebras and regular sequences. https://arxiv.org/abs/1703.00880

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