
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 $CP^{n}$.
14 pages
Poisson algebras, Poisson structures, quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Poisson manifolds; Poisson groupoids and algebroids, Mathematics - Symplectic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, submanifold, Symplectic Geometry (math.SG), Quantum Algebra (math.QA), Lagrangian subalgebra
Poisson algebras, Poisson structures, quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Poisson manifolds; Poisson groupoids and algebroids, Mathematics - Symplectic Geometry, Mathematics - Quantum Algebra, FOS: Mathematics, submanifold, Symplectic Geometry (math.SG), Quantum Algebra (math.QA), Lagrangian subalgebra
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