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- W2013994328 abstract "Let g be a Lie algebra of type A,D,E with fixed Cartan subalgebra h, root system R and Weyl group W. We show that a choice of Coxeter element C gives a root basis for g. Moreover we show that this root basis gives a purely combinatorial construction of g, where root vectors correspond to vertices of a certain quiver $Gammahat$, and show that with respect to this basis the structure constants of the Lie bracket are given by paths in $Gammahat$. This construction is then related to the constructions of Ringel and Peng and Xiao." @default.
- W2013994328 created "2016-06-24" @default.
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- W2013994328 date "2008-11-14" @default.
- W2013994328 modified "2023-09-27" @default.
- W2013994328 title "Coxeter Elements and Root Bases" @default.
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