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Gradings by root systems and S-structures on Lie algebras

Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart May 01, 2024 - May 03, 2024

May 01, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Alberto Elduque (University of Zaragoza)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Gradings by root systems and S-structures on Lie algebras

Abstract

Gradings by root systems of Lie algebras is an area where the contributions of Georgia Benkart are of fundamental importance. A few years ago, Vinberg considered a broad extension. In this talk the S-structures of Vinberg will be reviewed, examples that had already appeared in the literature and that fit in this framework will be given, and some new examples, obtained in joint work with P. Beites, A. Córdova-Martínez, and I. Cunha, will be provided.

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Gradings by root systems and S-structures on Lie algebras

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