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An isomorphism theorem for Lusztig algebras

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 نشر من قبل Weideng Cui
 تاريخ النشر 2017
  مجال البحث
والبحث باللغة English
 تأليف Weideng Cui




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In [Lu6] Lusztig defined a certain algebra $H,$ which is a direct sum of various algebras $H_{mathfrak{o}}.$ We establish an explicit algebra isomorphism between each algebra $H_{mathfrak{o}}$ and some matrix algebra with coefficients in the tensor product of an (affine or finite) Hecke algebra and a group algebra. We give an application.



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