The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs

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The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs. / Yuen, Chi Ho.

I: Electronic Journal of Combinatorics, Bind 31, Nr. 1, P1.38, 2024.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Yuen, CH 2024, 'The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs', Electronic Journal of Combinatorics, bind 31, nr. 1, P1.38. https://doi.org/10.37236/11758

APA

Yuen, C. H. (2024). The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs. Electronic Journal of Combinatorics, 31(1), [P1.38]. https://doi.org/10.37236/11758

Vancouver

Yuen CH. The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs. Electronic Journal of Combinatorics. 2024;31(1). P1.38. https://doi.org/10.37236/11758

Author

Yuen, Chi Ho. / The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs. I: Electronic Journal of Combinatorics. 2024 ; Bind 31, Nr. 1.

Bibtex

@article{fc28be95ed094b919910ac52ee4aac72,
title = "The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs",
abstract = "Adinkras are graphical gadgets introduced by physicists to study supersymmetry, which can be thought of as the Cayley graphs for supersymmetry algebras. Improving the result of Iga et al., we determine the critical group of an Adinkra given the 2-rank of the Laplacian of the underlying Cayley graph. As a corollary, we show that the critical group is independent of the signature of the Adinkra. The proof uses the monodromy pairing on these critical groups.",
author = "Yuen, {Chi Ho}",
note = "Publisher Copyright: {\textcopyright} The author. Released under the CC BY-ND license (International 4.0).",
year = "2024",
doi = "10.37236/11758",
language = "English",
volume = "31",
journal = "Electronic Journal of Combinatorics",
issn = "1077-8926",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - The Critical Groups of Adinkras up to 2-Rank of Cayley Graphs

AU - Yuen, Chi Ho

N1 - Publisher Copyright: © The author. Released under the CC BY-ND license (International 4.0).

PY - 2024

Y1 - 2024

N2 - Adinkras are graphical gadgets introduced by physicists to study supersymmetry, which can be thought of as the Cayley graphs for supersymmetry algebras. Improving the result of Iga et al., we determine the critical group of an Adinkra given the 2-rank of the Laplacian of the underlying Cayley graph. As a corollary, we show that the critical group is independent of the signature of the Adinkra. The proof uses the monodromy pairing on these critical groups.

AB - Adinkras are graphical gadgets introduced by physicists to study supersymmetry, which can be thought of as the Cayley graphs for supersymmetry algebras. Improving the result of Iga et al., we determine the critical group of an Adinkra given the 2-rank of the Laplacian of the underlying Cayley graph. As a corollary, we show that the critical group is independent of the signature of the Adinkra. The proof uses the monodromy pairing on these critical groups.

UR - http://www.scopus.com/inward/record.url?scp=85184432376&partnerID=8YFLogxK

U2 - 10.37236/11758

DO - 10.37236/11758

M3 - Journal article

AN - SCOPUS:85184432376

VL - 31

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

SN - 1077-8926

IS - 1

M1 - P1.38

ER -

ID: 382977231