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Determining Quantum Symmetry in Graphs Using Planar Algebras

Pisharody, Akshata
Abstract
A graph has quantum symmetry if the algebra associated with its quantum automorphism group is non-commutative. We study what quantum symmetry means and outline one specific method for determining whether a graph has quantum symmetry, a method that involves studying planar algebras and manipulating planar tangles. Modifying a previously used method, we prove that the 5-cycle has no quantum symmetry by showing it has the generating property.
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2021-05-01
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Undergraduate Honors Theses
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Pisharody_Akshata_Honors_Thesis.pdf
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Clare, Pierre
Clare, Pierre
Swartz, Eric
Conradi-Smith, Gregory
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Mathematics
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https://scholarworks.wm.edu/handle/internal/11061
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