Meander Graphs and Frobenius Seaweed Lie Algebras II

Vincent Coll; Matthew Hyatt; Colton Magnant; Hua Wang

doi:10.4172/1736-4337.1000227

Meander Graphs and Frobenius Seaweed Lie Algebras II

Vincent Coll, Matthew Hyatt, Colton Magnant, Hua Wang

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration. In certain special cases, the signature is used to produce an explicit formula for the index of seaweed Lie subalgebra of sl(n) in terms of elementary functions.

Original language	American English
Journal	Journal of Generalized Lie Theory and Applications
Volume	9
DOIs	https://doi.org/10.4172/1736-4337.1000227
State	Published - Jul 29 2015

Keywords

Biparabolic
Frobenius
Lie algebra
Meander
Seaweed algebra

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Mathematics

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title = "Meander Graphs and Frobenius Seaweed Lie Algebras II",

abstract = " We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander{\textquoteright}s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration. In certain special cases, the signature is used to produce an explicit formula for the index of seaweed Lie subalgebra of sl(n) in terms of elementary functions.",

keywords = "Biparabolic, Frobenius, Lie algebra, Meander, Seaweed algebra",

author = "Vincent Coll and Matthew Hyatt and Colton Magnant and Hua Wang",

year = "2015",

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doi = "10.4172/1736-4337.1000227",

language = "American English",

volume = "9",

journal = "Journal of Generalized Lie Theory and Applications",

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T1 - Meander Graphs and Frobenius Seaweed Lie Algebras II

AU - Coll, Vincent

AU - Hyatt, Matthew

AU - Magnant, Colton

AU - Wang, Hua

PY - 2015/7/29

Y1 - 2015/7/29

N2 - We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration. In certain special cases, the signature is used to produce an explicit formula for the index of seaweed Lie subalgebra of sl(n) in terms of elementary functions.

AB - We provide a recursive classification of meander graphs, showing that each meander is identified by a unique sequence of fundamental graph theoretic moves. This sequence is called the meander’s signature and can be used to construct arbitrarily large sets of meanders, Frobenius or otherwise, of any size and configuration. In certain special cases, the signature is used to produce an explicit formula for the index of seaweed Lie subalgebra of sl(n) in terms of elementary functions.

KW - Biparabolic

KW - Frobenius

KW - Lie algebra

KW - Meander

KW - Seaweed algebra

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/361

U2 - 10.4172/1736-4337.1000227

DO - 10.4172/1736-4337.1000227

M3 - Article

VL - 9

JO - Journal of Generalized Lie Theory and Applications

JF - Journal of Generalized Lie Theory and Applications

ER -

Meander Graphs and Frobenius Seaweed Lie Algebras II

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Keywords

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