Non--commutative Group Manifolds
Z. Hasiewicz, P. Siemion
TL;DR
This paper investigates a chiral sector of symplectic group manifolds, revealing a symmetry that resembles but is weaker than the traditional Lie-Poisson symmetry, contributing to the understanding of non-commutative geometries.
Contribution
It introduces a novel symmetry in the chiral sector of symplectic group manifolds that extends the existing Lie-Poisson framework.
Findings
Identifies a new symmetry in the chiral sector
Shows the symmetry is similar but weaker than Lie-Poisson
Advances understanding of non-commutative group manifolds
Abstract
We show that a chiral sector of a symplectic group manifold possesses a symmetry similar to, but somewhat weaker than the Lie--Poisson one.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology