Quantum symmetry in multigraphs and its applications in physical models

Author (Researcher Name)

Sk Asfaq Hossain Dr., Indian Statistical Institute

Date of Submission

December 2023

Date of Award

12-1-2024

Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name

Statistics

Department

Theoretical Statistics and Mathematics Unit (TSMU-Kolkata)

Supervisor

Goswami, Debashish (TSMU-Kolkata; ISI)

Abstract (Summary of the Work)

We introduce various notions of quantum symmetry in a directed or undi- rected multigraph with no isolated vertex and explore relations among them. If the multigraph is simple (with or without loops), all our notions of quantum symmetry reduce to the already existing notions of quantum symmetry provided by Bichon and Banica. Using the machinery developed, we have also provided applications of quantum symmetry in some mathematical and physical models.

Comments

ProQuest Collection ID: https://www.proquest.com/pqdtlocal1010185/dissertations/fromDatabasesLayer?accountid=27563

Control Number

ISILib-TH

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

DOI

http://dspace.isical.ac.in:8080/jspui/handle/10263/2146

Recommended Citation

Hossain, Sk Asfaq Dr., "Quantum symmetry in multigraphs and its applications in physical models" (2024). Doctoral Theses. 487.
https://digitalcommons.isical.ac.in/doctoral-theses/487