Quantum isomorphism of $2$-graphs

Soumalya Joardar; Atibur Rahaman; Jitender Sharma

doi:10.1142/S0129167X24500733

Quantum isomorphism of $2$-graphs

Operator Algebras 2025-04-01 v3

Authors: Soumalya Joardar , Atibur Rahaman , Jitender Sharma

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Abstract

We formulate a notion of the quantum automorphism group of a $2$ -graph. After some preliminary computations, we define quantum isomorphism between a pair of $2$ -graphs. We produce a `non-trivial' example of a pair of $2$ -graphs that are not quantum isomorphic to each other.

Keywords

automorphism groups graph theory of groups quantum groups

Cite

@article{arxiv.2309.05083,
  title  = {Quantum isomorphism of $2$-graphs},
  author = {Soumalya Joardar and Atibur Rahaman and Jitender Sharma},
  journal= {arXiv preprint arXiv:2309.05083},
  year   = {2025}
}

Comments

26 PAGES. This is an improved version of our previous article, which now includes a new section. This addition significantly enhances the article, and therefore, Jitender Sharma's contribution is recognized with the addition of a third author. To appear in International Journal Of Mathematics

Quantum isomorphism of $2$-graphs

Abstract

Keywords

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