Inventiones mathematicae

, 178:451 | Cite as

Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras

  • Jonathan BrundanEmail author
  • Alexander Kleshchev


We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) cyclotomic Khovanov-Lauda algebras in type A. These isomorphisms connect the categorification conjecture of Khovanov and Lauda to Ariki’s categorification theorem. The Khovanov-Lauda algebras are naturally graded, which allows us to exhibit a non-trivial ℤ-grading on blocks of cyclotomic Hecke algebras, including symmetric groups in positive characteristic.

Mathematics Subject Classification (2000)



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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OregonEugeneUSA

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