Bi-invariant differential operators on the Galilean group

2014/10/02 by Mathew Wolak, Wolak, Mathew
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1410.0635

openalex publication_date 2014/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Galilean group is the group of symmetries of Newtonian mechanics, with Lie a lgebra \gal(n). We find algebraically independent generators for the center of the universal enveloping algebra of \gal(n) using coadjoint orbits.

Citations

• Lie Groups, Lie Algebras, and Some of Their Applications

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