Explicit irreducible representations of the¶Iwahori–Hecke algebra of Type F4 |
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| Authors: | Arun Ram D E Taylor |
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| Institution: | Department of Mathematics, Fine Hall, Princeton University, Princeton,?NJ 08544-1000, USA. e-mail: rama@math.princeton.edu, US
School of Mathematics and Statistics, University of Sydney,?NSW 2006, Australia. e-mail: don@maths.usyd.edu.au, AU
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| Abstract: | A general method for computing irreducible representations of Weyl groups and Iwahori–Hecke algebras was introduced by the
first author in 10]. In that paper the representations of the algebras of types A
n
, B
n
, D
n
and G
n
were computed and it is the purpose of this paper to extend these computations to F
4. The main goal here is to compute irreducible representations of the Iwahori–Hecke algebra of type F
4 by only using information in the character table of the Weyl group.
Received: Received: 30 July 1998 |
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| Keywords: | Mathematics Subject Classification (1991): 20F55 20F28 |
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