Adjoint quotient maps for restricted Lie algebras Wn and Sn

Hao Chang

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arXiv · 1405.3216

Adjoint quotient maps for restricted Lie algebras Wn and Sn

Hao Chang

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Abstract

We give an explicit description of adjoint quotient maps for Jacobson-Witt algebra Wn and special algebra Sn. An analogue of Kostant's differential criterion of regularity is given for Wn. Furthermore, we describe the fiber of adjoint quotient map for Sn and construct the analogs of Kostant's transverse slice. In addition, we analysis the nilpotent elements and generalize some Premet's results to Sn.

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BibTeX RIS

Hao Chang. 2014-05-13. Adjoint quotient maps for restricted Lie algebras Wn and Sn. https://arxiv.org/abs/1405.3216

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