Free quantum analogue of Coxeter group D4

Gromada, Daniel

doi:10.1016/j.jalgebra.2022.03.036

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Halved Hypercube1

Finite Graphs and The Frucht Property1

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2023

2024

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Article3

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Cited by 4 publications

(2 citation statements)

References 23 publications

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“…One particular candidate was recently discovered in [15] for . For general , the question is still open.…”

Section: Halved Hypercubementioning

confidence: 99%

Quantum symmetries of Cayley graphs of abelian groups

Gromada

2023

Glasgow Math. J.

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“…One particular candidate was recently discovered in [15] for . For general , the question is still open.…”

Section: Halved Hypercubementioning

confidence: 99%

Quantum symmetries of Cayley graphs of abelian groups

Gromada

2023

Glasgow Math. J.

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“…The question of whether this result extends to the quantum group setting is a natural one, and was posed explicitly in [23], and implicitly in [19].…”

Section: Finite Graphs and The Frucht Propertymentioning

confidence: 99%

The Frucht property in the quantum group setting

Banica¹,

McCarthy²

2021

Glasgow Math. J.

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Quantum symmetries of Hadamard matrices

Gromada

2024

Trans. Amer. Math. Soc.

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We define quantum automorphisms and isomorphisms of Hadamard matrices. We show that every Hadamard matrix of size N ≥ 4 N\ge 4 has quantum symmetries and that all Hadamard matrices of a fixed size are mutually quantum isomorphic. These results pass also to the corresponding Hadamard graphs. We also define quantum Hadamard matrices acting on quantum spaces and bring an example thereof over matrix algebras.

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Free quantum analogue of Coxeter group D4

Cited by 4 publications

References 23 publications

Quantum symmetries of Cayley graphs of abelian groups

Quantum symmetries of Cayley graphs of abelian groups

The Frucht property in the quantum group setting

Quantum symmetries of Hadamard matrices

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