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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Teo Banica
Univ. Cergy-Pontoise
MR ID: 604084
Reference #
OMN:202204.111323

Attributes

Posted date
2022-05-19 10:12:04
Revised date
2022-05-19 10:12:04
Level
   Graduate
Notes type
   Standard Course Offering
Topic
   Algebra
      Group Theory
   Analysis
      Functional Analysis
   Discrete Mathematics
      Combinatorics
      Graph Theory
   Geometry
      Algebraic Geometry
   Mathematical Physics
      Quantum Physics and Field Theory
      Statistical Physics
   Probability
      Elementary Probability
   Representation Theory

Quantum permutation groups

Introduction to quantum permutation groups, which are beautiful mathematical objects, expected to be useful in several branches of modern physics. Consists of 4 parts, 100pp each, with each part corresponding to material for a 1/2 semester advanced graduate course: (1) Quantum permutations (2) Analytic aspects (3) Quantum reflections (4) Matrix models. Everything printer-friendly, all components having length multiples of 4.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v1 PDF (2.3M) 05/19/22