Highest weights for truncated shifted Yangians and product monomial crystals

Joel Kamnitzer; Peter Tingley; Ben Webster; Alex Weekes; Oded Yacobi

doi:10.4171/jca/32

Highest weights for truncated shifted Yangians and product monomial crystals

Joel Kamnitzer
, Peter Tingley
, Ben Webster
, Alex Weekes
, Oded Yacobi

Department of Mathematics and Statistics

University of Toronto
University of Waterloo
Perimeter Institute for Theoretical Physics
University of Sydney

Research output: Contribution to journal › Article › peer-review

Original language	American English
Journal	Journal of Combinatorial Algebra
Volume	3
Issue number	3
DOIs	https://doi.org/10.4171/jca/32
State	Published - Sep 17 2019

Disciplines

Physics
Mathematics

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10.4171/jca/32License: Unspecified

Cite this

@article{3123130a7954478b8ee1d9dbb006022d,

title = "Highest weights for truncated shifted Yangians and product monomial crystals",

author = "Joel Kamnitzer and Peter Tingley and Ben Webster and Alex Weekes and Oded Yacobi",

note = "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 algebras. In particular, we conjecture that the possible highest weights for these algebras are described by product monomial crystals, certain natural subcrystals of Nakajima's monomials.",

year = "2019",

month = sep,

day = "17",

doi = "10.4171/jca/32",

language = "American English",

volume = "3",

journal = "Journal of Combinatorial Algebra",

number = "3",

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TY - JOUR

T1 - Highest weights for truncated shifted Yangians and product monomial crystals

AU - Kamnitzer, Joel

AU - Tingley, Peter

AU - Webster, Ben

AU - Weekes, Alex

AU - Yacobi, Oded

N1 - 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 algebras. In particular, we conjecture that the possible highest weights for these algebras are described by product monomial crystals, certain natural subcrystals of Nakajima's monomials.

PY - 2019/9/17

Y1 - 2019/9/17

UR - http://lib-arxiv-008.serverfarm.cornell.edu/abs/1511.09131

U2 - 10.4171/jca/32

DO - 10.4171/jca/32

M3 - Article

VL - 3

JO - Journal of Combinatorial Algebra

JF - Journal of Combinatorial Algebra

IS - 3

ER -

Highest weights for truncated shifted Yangians and product monomial crystals

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