Affine Yangians and deformed double current algebras in type A

• Autores: Nicolas Guay
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 211, Nº 2, 2007, págs. 436-484
• Idioma: inglés
• DOI: 10.1016/j.aim.2006.08.007
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• Resumen

  • We study the structure of Yangians of affine type and deformed double current algebras, which are deformations of the enveloping algebras of matrix W1+8-algebras. We prove that they admit a PBW-type basis, establish a connection (limit construction) between these two types of algebras and toroidal quantum algebras, and we give three equivalent definitions of deformed double current algebras. We construct a Schur¿Weyl functor between these algebras and rational Cherednik algebras.