Yangians, Mirabolic Subalgebras, and Whittaker Vectors

We construct an element in a completion of the universal enveloping algebra of N, which we call the Kirillov projector, that connects the topics of the title: on the one hand, it is defined using the evaluation homomorphism from the Yangian of N, on the other hand, it gives a canonical projection on...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Author: Kalmykov, Artem
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/213188
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Yangians, Mirabolic Subalgebras, and Whittaker Vectors. Artem Kalmykov. SIGMA 21 (2025), 025, 54 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine