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Higher level Fock spaces and affine Yangian

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 نشر من قبل Ryosuke Kodera
 تاريخ النشر 2016
  مجال البحث
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 تأليف Ryosuke Kodera




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We construct actions of the affine Yangian of type A on higher level Fock spaces by extending known actions of the Yangian of finite type A due to Uglov. This is a degenerate analog of a result by Takemura-Uglov, which constructed actions of the quantum toroidal algebra on higher level $q$-deformed Fock spaces.



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