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Symmetry, Integrability and Geometry: Methods and Applications, 2019, Volume 15, 020, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2019.020 (Mi sigma1456) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Braid Group Action on Affine Yangian

Ryosuke Kodera

Department of Mathematics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan
Full-text PDF (459 kB) Citations (5)
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DOI: https://doi.org/10.3842/SIGMA.2019.020
Abstract: We study braid group actions on Yangians associated with symmetrizable Kac–Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg algebra inside $\hat{\mathfrak{gl}}_N$.
Keywords: affine Yangian; braid group action; evaluation map.
Funding agency Grant number
Japan Society for the Promotion of Science 26287004
17H06127
18K13390
Kyoto University Fund
This work was supported by JSPS KAKENHI Grant Number 26287004, 17H06127, 18K13390, and The Kyoto University Foundation.
Received: August 9, 2018; in final form February 27, 2019; Published online March 16, 2019
Bibliographic databases:
Document Type: Article
MSC: 17B10; 17B37; 17B67
Language: English
Citation: Ryosuke Kodera, “Braid Group Action on Affine Yangian”, SIGMA, 15 (2019), 020, 28 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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