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math.RT2025
Quiver varieties and root multiplicities in rank 3
Patrick Chan, Peter Tingley
Building on our previous work in rank two, we use quiver varieties to give a combinatorial upper bound on dimensions of certain imaginary root spaces for rank 3 symmetric Kac-Moody…
math.RT2018
On category for affine Grassmannian slices and categorified tensor products
Joel Kamnitzer, Peter Tingley, Ben Webster +2
Truncated shifted Yangians are a family of algebras which naturally quantize slices in the affine Grassmannian. These algebras depend on a choice of two weights and for a L…
math.RT2012★ 1 cited
Affine PBW Bases and MV Polytopes in Rank 2
Dinakar Muthiah, Peter Tingley
Mirkovic-Vilonen (MV) polytopes have proven to be a useful tool in understanding and unifying many constructions of crystals for finite-type Kac-Moody algebras. These polytopes ari…