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Schur–Weyl Reciprocity for Ariki–Koike Algebras

✍ Scribed by Masahiro Sakamoto; Toshiaki Shoji

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
178 KB
Volume
221
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 reciprocity for the actions of q Ž .

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