48 citations · 188 across the 28 of their papers we have counts for
31 papers
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…
Notes on Fock space
Peter Tingley
These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebra, a Weyl algebra, an infinite rank ma…
Peter-Weyl bases, preferred deformations, and Schur-Weyl duality
Anthony Giaquinto, Alex Gilman, Peter Tingley
We discuss the deformed function algebra of a simply connected reductive Lie group G over the complex numbers using a basis consisting of matrix elements of finite dimensional repr…
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…
PBW bases and marginally large tableaux in types B and C
Jackson Criswell, Ben Salisbury, Peter Tingley
We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally larg…
Affine PBW Bases and Affine MV polytopes
Dinakar Muthiah, Peter Tingley
We show how affine PBW bases can be used to construct affine MV polytopes, and that the resulting objects agree with the affine MV polytopes recently constructed using either prepr…