<div class="csl-bib-body">
<div class="csl-entry">Gaetz, C., Pechenik, O., Pfannerer-Mittas, S. H., Jessica, S., & Swanson, J. P. (2023). An SL₄-web basis from hourglass plabic graphs. In <i>Proceedings of the 35th International Conference on “Formal Power Series and Algebraic Combinatorics.”</i> 35th International Conference on Formal Power Series & Algebraic Combinatorics (FPSAC 2023), Davis, California, United States of America (the). http://hdl.handle.net/20.500.12708/192483</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/192483
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dc.description.abstract
We introduce hourglass plabic graphs and prove that certain of these graphs index a rotation-invariant SL4-web basis, a structure that has been sought since Kuperberg's introduction of the SL3-web basis in 1996. These graphs exhibit connections to the combinatorics of standard Young tableaux, crystals, alternating sign matrices, six-vertex configurations, and plane partitions.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.description.sponsorship
Österr. Akademie der Wissenschaften
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dc.language.iso
en
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dc.subject
web
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dc.subject
promotion
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dc.subject
plabic graph
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dc.subject
alternating sign matrix
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dc.subject
six-vertex model
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dc.title
An SL₄-web basis from hourglass plabic graphs
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dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.contributor.affiliation
Cornell University, United States of America (the)
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dc.contributor.affiliation
University of Waterloo, Canada
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dc.contributor.affiliation
North Dakota State University, United States of America (the)
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dc.contributor.affiliation
University of Southern California, United States of America (the)
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dc.relation.grantno
P29275-N35
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dc.relation.grantno
25658
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dc.type.category
Full-Paper Contribution
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tuw.booktitle
Proceedings of the 35th International Conference on "Formal Power Series and Algebraic Combinatorics"
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tuw.container.volume
89B
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tuw.book.chapter
9
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tuw.publication.invited
invited
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tuw.project.title
Das Phänomen des zyklischen Siebens
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tuw.project.title
Rotationsinvariante diagrammatische Basen für Invariantenräume
