Journal of Lie Theory

no. 4
Real Roots in the Root System T2,p,q
Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 1113-1138
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.
DOI: 10.5802/jolt.1321
Classification: 17B22
Keywords: Root system, real roots, Grassmannian cluster algebras 
@article{JOLT_2023_33_4_a7,
     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},
     doi = {10.5802/jolt.1321},
     zbl = {1537.17019},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1321/}
}
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%A A. Smolensky
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K. Baur; J.-R. Li; A. Smolensky. Real Roots in the Root System T2,p,q. Journal of Lie Theory, Volume 33 (2023) no. 4, pp. 1113-1138. doi: 10.5802/jolt.1321

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