48 citations · 188 across the 28 of their papers we have counts for
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math.RT2015
Face Functors for KLR Algebras
Peter J. McNamara, Peter Tingley
Simple representations of KLR algebras can be used to realize the infinity crystal for the corresponding symmetrizable Kac-Moody algebra. It was recently shown that, in finite and…
math.RT2015★ 17 cited
Highest weights for truncated shifted Yangians and product monomial crystals
Joel Kamnitzer, Peter Tingley, Ben Webster +2
Truncated shifted Yangians are a family of algebras which are natural quantizations of slices in the affine Grassmannian. We study the highest weight representations of these algeb…
math.QA2015★ 4 cited
Young tableaux, multi-segments, and PBW bases
John Claxton, Peter Tingley
The crystals for finite dimensional representations of sl(n+1) can be realized using Young tableaux. The infinity crystal on the other hand is naturally realized using multisegment…