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Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 103, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.103 (Mi sigma1402) 		 
Virtual Crystals and Nakajima Monomials

Ben Salisburya, Travis Scrimshawb

a Department of Mathematics, Central Michigan University, Mount Pleasant, MI 48859, USA
b School of Mathematics and Physics, The University of Queensland, St. Lucia, QLD 4072, Australia
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DOI: https://doi.org/10.3842/SIGMA.2018.103
Abstract: An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type $A_n$.
Keywords: crystal; Nakajima monomial; virtualization; PBW basis; Kostant partition.
Funding agency Grant number
CMU Early Career grant C62847
Simons Foundation 429950
National Science Foundation NSF/DMS-1148634
B.S. was partially supported by CMU Early Career grant #C62847 and by Simons Foundation grant #429950. T.S. was partially supported by the National Science Foundation RTG grant NSF/DMS-1148634.
Received: March 28, 2018; in final form September 20, 2018; Published online September 26, 2018
Bibliographic databases:
Document Type: Article
MSC: 05E10; 17B37
Language: English
Citation: Ben Salisbury, Travis Scrimshaw, “Virtual Crystals and Nakajima Monomials”, SIGMA, 14 (2018), 103, 19 pp.
Citation in format AMSBIB
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