Abstract
We show that certain semi-simple extensions of degenerate affine Hecke algebras of arbitrary Weyl groups admit analogous Khovanov–Lauda–Rouquier generators after some localization. As an application, we obtain the Brundan–Kleshchev–Rouquier-like isomorphisms between direct sums of blocks of cyclotomic degenerate affine Hecke algebras of arbitrary Weyl groups and the cyclotomic quotients of some graded subalgebras of the corresponding semi-simple extensions.
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The authors would like to thank the referee for his or her valuable comments and the improvement of the main results.
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The first author is supported by the NSF of China (No. 11501057); the second author is supported by the NSF of China (No. 11671174).
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Kong, F., Li, ZW. The cyclotomic degenerate affine Hecke algebras of arbitrary Weyl groups. manuscripta math. (2024). https://doi.org/10.1007/s00229-024-01551-5
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DOI: https://doi.org/10.1007/s00229-024-01551-5