Unitary representation induced from maximal parabolic subgroups for splitF4
نویسندگان
چکیده
منابع مشابه
On some maximal subgroups of unitary groups
The maximality of certain symplectic subgroups of unitary groups PSUn(K), n ≥ 4, (K any field admitting a non–trivial involutory automorphism) belonging to the class C5 of Aschbacher is proved. Furthermore some related geometry in the case n = 4 and K finite is investigated. Mathematics Subject Classification (2002): 20G40, 20G28
متن کاملMaximal parabolic subgroups in OV Introduction
Definition 1. Let G be a permutation group on a set and x be an element of . Then Gx g ∈ G ∣ gx x is called the stabilizer of x and consists of all the permutations of G that produce group fixed points in x. Definition 2. A vector subspace S ⊂ V is isotropic if for any v,w ∈ S, the symmetric bilinear form satisfies: Bv,w 0 Definition 3. A maximal parabolic subgroup in an orthogon...
متن کاملAvoiding maximal parabolic subgroups of Sk
Let [p] = {1, . . . , p} denote a totally ordered alphabet on p letters, and let α = (α1, . . . ,αm) ∈ [p1], β = (β1, . . . ,βm) ∈ [p2]. We say that α is order-isomorphic to β if for all 1≤ i< j ≤ m one has αi < α j if and only if βi < β j. For two permutations π ∈ Sn and τ ∈ Sk, an occurrence of τ in π is a subsequence 1 ≤ i1 < i2 < .. . < ik ≤ n such that (πi1 , . . . ,πik ) is order-isomorph...
متن کاملIntertwining Operators for Representations Induced from a Maximal Parabolic Subgroup
We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we nd the eigenvalues of the operators on the K-types, and give several examples. Among the advantages of our method is its applicability to bundle-valued cases. 0. Introduction Intertwining operators of various forms play an impor...
متن کاملConjugacy Classes in Maximal Parabolic Subgroups of General Linear Groups
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a “matrix problem”. Such problems involve finding normal forms for matrices under a specified set of row and column operations. We solve the relevant matrix problem in small dimensional cases. This gives us all conjugacy classes in maximal parabolic subgroups over a ...
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: Pacific Journal of Mathematics
سال: 1996
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1996.176.33