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math.RT2022
2-roots for simply laced Weyl groups
R. M. Green, Tianyuan Xu
We introduce and study "2-roots", which are symmetrized tensor products of orthogonal roots of Kac--Moody algebras. We concentrate on the case where is the Weyl group of a simp…
math.RT2021
Subregular -rings of Coxeter systems via quiver path algebras
Ivan Dimitrov, Charles Paquette, David Wehlau +1
We study the subregular -ring of a Coxeter system , a subring of Lusztig's -ring. We prove that is isomorphic to a quotient of the path algebra of the doub…