Character formulas and Frobenius subgroups of algebraic groups
نویسندگان
چکیده
منابع مشابه
AFFINE SUBGROUPS OF THE CLASSICAL GROUPS AND THEIR CHARACTER DEGREES
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...
متن کاملExtensions , 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...
متن کاملFinite Subgroups of Algebraic Groups
0. Introduction 1105 1. Constructible families 1111 2. Genericity for finite subgroups 1116 3. Finite groups of Lie type 1119 4. Basic nonconcentration estimate 1122 5. Finite subgroups of abelian varieties 1126 6. Orders of conjugacy classes and centralizers 1127 7. Regular semisimple and unipotent elements 1129 8. Minimal unipotent elements 1134 9. Frobenius map 1140 10. Traces in the basic c...
متن کاملaffine subgroups of the classical groups and their character degrees
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 new ch...
متن کاملAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. It supersedes Algebraic Groups and Arithmetic Groups. This file only contains the front matter. For the rest, see Single paper copies for noncommercial personal use may be made without explicit permission from the copyright holder. Preface For one who attempts to unravel the st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1989
ISSN: 0021-8693
DOI: 10.1016/0021-8693(89)90169-5