Triality for Homogeneous Polynomials

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dc.contributor.authorSchaposnik, Laura P.
dc.contributor.authorSchulz, Sebastian
dc.date.accessioned2025-12-30T15:51:29Z
dc.date.issued2021
dc.description.abstractThrough the triality of SO(8, ℂ), we study three interrelated homogeneous bases of the ring of invariant polynomials of Lie algebras, which give the bases of three Hitchin fibrations, and identify the explicit automorphisms that relate them.
dc.description.sponsorshipThe authors are thankful to S. Rayan for his thorough comments on a draft of the manuscript. The work of S.S. is partially supported by NSF grants DMS 1107452, 1107263, 1107367 “RNMS: GEometric structures And Representation varieties (the GEAR Network)”. L.P.S. was partially supported by NSF DMS 1509693 and NSF CAREER Award DMS 1749013, as well as by the Alexander Von Humboldt Foundation. This material is also based upon work supported by NSF DMS 1440140 while L.P.S. was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Fall 2019 semester. Both authors are thankful for the support of the Simons Center for Geometry and Physics during the Spring 2019 program on Geometry and Physics of Hitchin systems.
dc.identifier.citationTriality for Homogeneous Polynomials. Laura P. Schaposnik and Sebastian Schulz. SIGMA 17 (2021), 079, 14 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2021.079
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 14H60; 31A35; 33C80; 53C07
dc.identifier.otherarXiv:2009.13573
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/211344
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleTriality for Homogeneous Polynomials
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2021, том 17, випуск за цей рік