2021/07/13 by Nathan Chapelier‐Laget, Chapelier-Laget, Nathan
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics
paper · doi:10.48550/arxiv.2107.06220
Let W be a irreducible Weyl group and Wa its affine Weyl group. In a previous article the author defined an affine variety \widehatXWa, called the Shi variety of Wa, whose integral points are in bijection with Wa. The set of irreducible components of \widehatXWa, denoted H0(\widehatXWa), is of some interest and we show in this article that H0(\widehatXWa) has a structure of semidistributive lattice.