Morita equivalences of Ariki–Koike algebras
✍ Scribed by Richard Dipper; Andrew Mathas
- Book ID
- 105875941
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- French
- Weight
- 319 KB
- Volume
- 240
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let ᒄ s gl [ иии [ gl be a Levi subalgebra of gl , with m s Ý r m , and Ž . the natural representation of the quantum group U ᒄ . We construct a represenq tation of the Ariki᎐Koike algebra H H on the n-fold tensor space of V, commuting n, r Ž . with the action of U ᒄ , and prove the Schur᎐Weyl reci
1999, J. Algebra, 221, 293᎐314 . This allows us to construct various non-parabolic subalgebras of H H . We construct all the irreducible representations of H H as n, r n, r induced modules from such subalgebras. We show the existence of a partition of unity in H H , which is specialized to a partiti