Unipotent Conjugacy in General Linear Groups
نویسندگان
چکیده
منابع مشابه
Unipotent Conjugacy in General Linear Groups
Hence, it is easy to count the orbits of GL n q under the conjugation action of U n q but seems hard to do the same for the group U n q itself! We fix some further notation. Let V n q be the vector space of column vectors, a module for GL n q . Recall that a flag is a totally ordered set of n− 1 nonzero proper subspaces of V n q . For g in GL n q let f g be the number of flags fixed by g, so it...
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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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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2006
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870500441775