Extensions, Levi subgroups and character formulas
نویسندگان
چکیده
منابع مشابه
Extensions , Levi subgroups and character formulas ✩
This paper consists of three interconnected parts. Parts I, III study the relationship between the cohomology of a reductive group G and that of a Levi subgroup H . For example, we provide a sufficient condition, arising from Kazhdan–Lusztig theory, for a natural map Ext• G (L,L′)→ Ext• H (LH ,L ′ H ) to be surjective, given irreducible G-modules L,L′ and corresponding irreducible H -modules LH...
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In this paper we describe how the degrees of the irreducible characters of the affine subgroups of the classical groups under consideration can be found inductively. In [4] Gow obtained certain character degrees for all of the affine subgroups of the classical groups. We apply the method of Fischer to the above groups and, in addition to the character degrees given in [4], we obtain some ne...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2008
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2005.11.041