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Quantum Groups from Path Integrals

1995/01/25 by Daniel S. Freed, Freed, Daniel S. · 14 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Computer science #FOS: Mathematics #FOS: Physical sciences #Gauge (firearms) #Gauge group #Gauge theory #Geography #Geometric and Algebraic Topology #Group (periodic table) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Mathematical physics #Mathematics #Path (computing) #Path integral formulation #Physics #Pure mathematics #Quantum #Quantum Algebra (math.QA) #Quantum mechanics #Theoretical physics #hep-th #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9501025

published in arXiv (Cornell University), 63-107 (Cornell University) · 41 pages + 9 figures. This paper is written using AMSTeX 2.1, which can be obtained via ftp from the American Mathematical Society (instructions included).

arxiv created 1995/01/25 · openalex publication_date 1995/01/25 · arxiv updated 2016/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Lecture notes from the 1994 CRM-CAP Summer School ``Particles and Fields '94''. Covers material written elsewhere in a more leisurely fashion, including many exercises. Describes derivation of quantum groups from the Chern-Simons lagrangian for the case of a finite gauge group.

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