Non-formal deformation quantization and star-exponential of the Poincare Group
Pierre Bieliavsky, Axel de Goursac, Florian Spinnler
TL;DR
This paper explores the non-formal deformation quantization of the Poincare Group ISO(1,1), focusing on its coadjoint orbit and the associated star-exponentials, advancing the mathematical understanding of quantum group structures.
Contribution
It introduces a non-formal deformation quantization framework for the Poincare Group and constructs the corresponding star-exponentials, which are novel in this context.
Findings
Constructed non-formal deformation quantization of ISO(1,1)
Derived explicit star-exponentials for the quantized group
Enhanced understanding of quantum group structures in relativistic symmetries
Abstract
We recall the construction of non-formal deformation quantization of the Poincare Group ISO(1,1) on its coadjoint orbit and exhibit the associated non-formal star-exponentials.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Algebraic structures and combinatorial models