Geodesic
Real Roots in the Root System T2,p,q
Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1113-1138
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Motivated by the recent advances in the categorification of the cluster structure on the coordinate rings of Grassmannians of k-subspaces in n-space, we investigate a particular construction of root systems of type T2,p,q, including the type En. This construction generalizes Manin's "hyperbolic construction" of E8 and reveals a lot of otherwise hidden regularities in this family of root systems.
Classification : 17B22
Mots-clés : Root system, real roots, Grassmannian cluster algebras 
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     author = {K. Baur and J.-R. Li and A. Smolensky},
     title = {Real {Roots} in the {Root} {System} {T\protect\textsubscript{2,p,q}}},
     journal = {Journal of Lie theory},
     pages = {1113--1138},
     year = {2023},
     volume = {33},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a7/}
}
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K. Baur; J.-R. Li; A. Smolensky. Real Roots in the Root System T2,p,q. Journal of Lie theory, Tome 33 (2023) no. 4, pp. 1113-1138. http://geodesic.mathdoc.fr/item/JLT_2023_33_4_JLT_2023_33_4_a7/