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Quantum symmetry in multigraphs and its applications in physical models/ Sk Asfaq Hossain

By: Material type: TextTextPublication details: Kolkata: Indian Statistical Institute, 2023Description: 150 pagesSubject(s): DDC classification:
  • 23 511.5 H829
Online resources:
Contents:
Introduction -- preliminaries -- Re-visiting quantum symmetry in simple graphs -- Equivalent characterisations of quantum symmetries in a simple graph -- Further investigations into Csym/V,E and CBic/V, E -- Source and target dependent co-actions on (V, E) -- Examples and applications -- Quantum symmetry in q-state Potts model
Production credits:
  • Guided by Prof. Debashish Goswami
Dissertation note: Thesis (Ph.D) -Indian Statistical Institute, 2023 Summary: 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.
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Thesis (Ph.D) -Indian Statistical Institute, 2023

Includes bibliography,

Introduction -- preliminaries -- Re-visiting quantum symmetry in simple graphs -- Equivalent characterisations of quantum symmetries in a simple graph -- Further investigations into Csym/V,E and CBic/V, E -- Source and target dependent co-actions on (V, E) -- Examples and applications -- Quantum symmetry in q-state Potts model

Guided by Prof. Debashish Goswami

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.

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