Inductive algebras for $\mathrm{SL}(2,\mathbb{R})$
نویسندگان
چکیده
منابع مشابه
Inductive Algebras for Trees
Let G be a locally compact group and π : G → U(H) a unitary representation of G. A commutative subalgebra of B(H) is called π-inductive when it is stable through conjugation by every operator in the range of π. This concept generalizes Mackey’s definition of a system of imprimitivity for π; it is expected that studying inductive algebras will lead to progress in the classification of realizatio...
متن کاملInductive Algebras for Finite Heisenberg Groups
A characterization of the maximal abelian sub-algebras of matrix algebras that are normalized by the canonical representation of a finite Heisenberg group is given. Examples are constructed using a classification result for finite Heisenberg groups.
متن کاملInductive Algebras and Homogeneous Shifts
Inductive algebras for the irreducible unitary representations of the universal cover of the group of unimodular two by two matrices are classified. The classification of homogeneous shift operators is obtained as a direct consequence. This gives a new approach to the results of Bagchi and Misra.
متن کاملBlaschke Inductive Limits of Uniform Algebras
We consider and study Blaschke inductive limit algebras A(b), defined as inductive limits of disc algebras A(D) linked by a sequence b = {Bk}k=1 of finite Blaschke products. It is well known that big G-disc algebras AG over compact abelian groups G with ordered duals Γ = Ĝ ⊂Q can be expressed as Blaschke inductive limit algebras. Any Blaschke inductive limit algebraA(b) is a maximal and Dirichl...
متن کاملInductive Formulas for the Index of Seaweed Lie Algebras
A seaweed subalgebra of a semisimple Lie algebra g is a generalization of the notion of parabolic subalgebra. In the case g = sl(V ), seaweed subalgebras were recently introduced by Dergachev and Kirillov. We give an inductive procedure for computing the index of seaweed subalgebras of classical Lie algebras. This allows us to prove that the index of any seaweed in sl(V ) or sp(V ) is at most t...
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: Illinois Journal of Mathematics
سال: 2005
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138310