Covariant Poisson Structures on Complex Projective Spaces

1998/02/18 by Albert Jeu-Liang Sheu, Sheu, Albert Jeu-Liang
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG

paper · pdf · doi:10.48550/arxiv.math/9802082

14 pages

arxiv created 1998/02/18 · openalex publication_date 1998/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the standard SU(n)-covariant Poisson sphere S^2n-1 is embedded in the nonstandard SU(n+1)-covariant Poisson complex projective spaces CPⁿ.

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