Geodesic
Real Roots in the Root System T2,p,q
Karin Baur1, 2; Jian-Rong Li3; Andrei Smolensky4
1(1) Institut für Mathematik, Universität Graz, Austria
2(2) School of Mathematics, University of Leeds, Great Britain
3Faculty of Mathematics, University of Vienna, Austria
4Dept. of Mathematics and Mechanics, Saint Petersburg State University, St. Petersburg, Russia
Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 1113-1138

See the original article notice from the Heldermann Verlag source

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
Keywords: Root system, real roots, Grassmannian cluster algebras

Karin Baur  1 , 2 ; Jian-Rong Li  3 ; Andrei Smolensky  4

1 (1) Institut für Mathematik, Universität Graz, Austria
2 (2) School of Mathematics, University of Leeds, Great Britain
3 Faculty of Mathematics, University of Vienna, Austria
4 Dept. of Mathematics and Mechanics, Saint Petersburg State University, St. Petersburg, Russia 
Karin Baur; Jian-Rong Li; Andrei Smolensky. Real Roots in the Root System T2,p,q. Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 1113-1138. http://geodesic.mathdoc.fr/item/JOLT_2023_33_4_a7/
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     title = {Real {Roots} in the {Root} {System} {T\protect\textsubscript{2,p,q}}},
     journal = {Journal of Lie Theory},
     pages = {1113--1138},
     year = {2023},
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