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A Frobenius Formula for the Characters of Ariki–Koike Algebras

✍ Scribed by Toshiaki Shoji

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 306 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8178

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✦ Synopsis

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 partition of unity in the group algebra n, r ‫ރ‬W . Then we prove a Frobenius formula for the characters of H H , which is an n, r n, r Ž analogy of the Frobenius formula proved by A. Ram 1991, In¨ent. Math. 106, . 461᎐488 for the Iwahori᎐Hecke algebra of type A.

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