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Morita equivalences of cyclotomic Hecke algebras of type G(r, p, n)
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Jun Hu
Published/Copyright:
January 21, 2009
Abstract
We prove a Morita reduction theorem for the cyclotomic Hecke algebras ℋr, p, n(q, Q) of type G(r, p, n) with p > 1 and n ≧ 3. As a consequence, we show that computing the decomposition numbers of ℋr, p, n(Q) reduces to computing the p′-splittable decomposition numbers (see Definition 1.1) of the cyclotomic Hecke algebras ℋr′, p′, n′(Q′), where 1 ≦ r′ ≦ r, 1 ≦ n′ ≦ n, p′ | p and where the parameters Q′ are contained in a single (ɛ′, q)-orbit and ɛ′ is a primitive p′th root of unity.
Received: 2007-02-25
Revised: 2008-01-06
Published Online: 2009-01-21
Published in Print: 2009-March
© Walter de Gruyter Berlin · New York 2009
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- The pro-p Hom-form of the birational anabelian conjecture
- Multiplication operators on the Bergman space via the Hardy space of the bidisk
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Articles in the same Issue
- Groupoids and an index theorem for conical pseudo-manifolds
- Linear forms in elliptic logarithms
- Random quotients of the modular group are rigid and essentially incompressible
- The pro-p Hom-form of the birational anabelian conjecture
- Multiplication operators on the Bergman space via the Hardy space of the bidisk
- Morita equivalences of cyclotomic Hecke algebras of type G(r, p, n)
- Special correspondences and Chow traces of Landweber-Novikov operations
- Double Kodaira fibrations
