2 citations · 3 across the 9 of their papers we have counts for
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Tangent spaces of spherical Schubert varieties and counterexamples to the reducedness conjecture
Marc Besson, Jiuzu Hong, Huanhuan Yu
Given a simply-connected simple algebraic group , we determine the tangent space of any Finkelberg-Mirković Schubert scheme at the base point of the affine Grassmannian of .…
Reduction rules for Demazure modules
Marc Besson, Sam Jeralds, Joshua Kiers
For a complex reductive group and a Borel subgroup, we provide a reduction rule for certain weight multiplicities in Demazure modules : given a weight $μ…
Geometric invariant theory and stretched Kostka quasi-polynomials
Marc Besson, Sam Jeralds, Joshua Kiers
For a semisimple, simply-connected complex algebraic group and two dominant integral weights , we consider the dimensions of weight spaces of weight in the i…
Affine Demazure Weight Polytopes and Twisted Bruhat Orders
Marc Besson, Sam Jeralds, Joshua Kiers
For an untwisted affine Kac-Moody Lie algebra with Cartan and Borel subalgebras , affine Demazure modules are…
Weight polytopes and saturation of Demazure characters
Marc Besson, Sam Jeralds, Joshua Kiers
For a reductive group and a maximal torus and Borel subgroup, Demazure modules are certain -submodules, indexed by elements of the Weyl group, of the finite irr…
Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules
Marc Besson, Jiuzu Hong
Let be a special parahoric group scheme of twisted type over the ring of formal power series over , excluding the absolutely special case of $A_{2\ell}^{(…
Vertices of Intersection Polytopes and Rays of Generalized Kostka Cones
Marc Besson, Sam Jeralds, Joshua Kiers
Let be the rational cone generated by pairs where and are dominant integral weights and is a nontrivial weight space in the representation $V_…
Multiplicity in root components via Geometric Satake
Marc Besson, Sam Jeralds, Joshua Kiers
In this note we explicitly construct top-dimensional components of the cyclic convolution varieties. These components correspond (via the geometric Satake equivalence) to irreducib…
A combinatorial study of affine Schubert varieties in affine Grassmannian
Marc Besson, Jiuzu Hong
Let be the closure of the -orbit in the affine Grassmanian of a simple algebraic group of adjoint type, where…