Irreducible Specht modules are signed Young modules
نویسندگان
چکیده
منابع مشابه
The Irreducible Specht Modules in Characteristic 2
In the representation theory of nite groups it is useful to know which ordinary irreducible representations remain irreducible modulo a prime p. For the symmetric groups S n this amounts to determining which Specht modules are irreducible over a eld of characteristic p. Throughout this note we work in characteristic 2, and in this case we classify the irreducible Specht modules, thereby verifyi...
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Let F be a field, n a non-negative integer, λ a partition of n and S λ the corresponding Specht module for the Iwahori–Hecke algebra HF,q(Sn). James and Mathas conjecture a necessary and sufficient condition on λ for S λ to be irreducible. We prove the sufficiency of this condition in the case where F has infinite characteristic and also in the case where q = 1.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.01.046