Unipotent elements of finite groups of Lie type and realization fields of their complex representations
نویسندگان
چکیده
منابع مشابه
On Conjugacy of Unipotent Elements in Finite Groups of Lie Type
Let G be a connected reductive algebraic group defined over Fq, where q is a power of a prime p that is good for G. Let F be the Frobenius morphism associated with the Fq-structure on G and set G = G , the fixed point subgroup of F . Let P be an F -stable parabolic subgroup of G and let U be the unipotent radical of P; set P = P and U = U . Let Guni be the set of unipotent elements in G. In thi...
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Characters of unipotent groups over finite fields
Let G be a connected unipotent group over a finite field Fq. In this article we propose a definition of L-packets of complex irreducible representations of the finite group G(Fq) and give an explicit description of L-packets in terms of the so-called “admissible pairs” for G. We then apply our results to show that if the centralizer of every geometric point of G is connected, then the dimension...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00174-1