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Modified Ariki-Koike algebras and cyclotomicq-Schur algebras

✍ Scribed by Nobuharu Sawada; Toshiaki Shoji

Book ID
105874724
Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
421 KB
Volume
249
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

Schur–Weyl Reciprocity for Ariki–Koike A
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✍ Masahiro Sakamoto; Toshiaki Shoji 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 178 KB

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

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✍ Toshiaki Shoji 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 306 KB

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