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- W4300313089 abstract "In a recent article with Oleg Smirnov, we defined short Peirce (SP) graded Kantor pairs. For any such pair P, we defined a family, parameterized by the Weyl group of type BC_2, consisting of SP-graded Kantor pairs called Weyl images of P. In this article, we classify finite dimensional simple SP-graded Kantor pairs over an algebraically closed field of characteristic 0 in terms of marked Dynkin diagrams, and we show how to compute Weyl images using these diagrams. The theory is particularly attractive for close-to-Jordan Kantor pairs (which are variations of Freudenthal triple systems), and we construct the reflections of such pairs (with nontrivial gradings) starting from Jordan matrix pairs." @default.
- W4300313089 created "2022-10-03" @default.
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- W4300313089 date "2017-03-11" @default.
- W4300313089 modified "2023-09-25" @default.
- W4300313089 title "Dynkin Diagrams and Short Peirce Gradings of Kantor Pairs" @default.
- W4300313089 doi "https://doi.org/10.48550/arxiv.1703.04055" @default.
- W4300313089 hasPublicationYear "2017" @default.
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