Toolbox of Para-differential Calculus on Compact Lie Groups

Chengyang Shao

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arXiv · 2310.06806

Toolbox of Para-differential Calculus on Compact Lie Groups

Chengyang Shao

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Abstract

This paper provides a toolbox of para-differential calculus on compact Lie groups. The toolbox is based on representation theory of compact Lie groups and contains exact formulas of symbolic calculus. Para-differential operators are constructed in a global, coordinate-free manner, giving lower order terms in symbolic calculus a clear form. The toolbox helps to understand non-local, nonlinear differential operators defined on certain manifolds with high symmetry.

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Chengyang Shao. 2023-10-10. Toolbox of Para-differential Calculus on Compact Lie Groups. https://arxiv.org/abs/2310.06806

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