An explicit Plancherel formula for completely solvable Lie groups.
نویسندگان
چکیده
منابع مشابه
A Qualitative Uncertainty Principle for Completely Solvable Lie Groups
In this paper, we study a qualitative uncertainty principle for completely solvable Lie groups.
متن کاملAn explicit formula for the deformation quantization of Lie bialgebras
A model of 3-dimensional topological quantum field theory is rigorously constructed. The results are applied to an explicit formula for deformation quantization of any finite-dimensional Lie bialgebra over the field of complex numbers. This gives an explicit construction of "quantum groups" from any Lie bialgebra, which was proven without explicit formulas in [EK]. Introduction The most ideal g...
متن کاملSuperrigid Subgroups of Solvable Lie Groups
Let Γ be a discrete subgroup of a simply connected, solvable Lie group G, such that AdG Γ has the same Zariski closure as AdG. If α : Γ → GLn(R) is any finite-dimensional representation of Γ, we show that α virtually extends to a continuous representation σ of G. Furthermore, the image of σ is contained in the Zariski closure of the image of α. When Γ is not discrete, the same conclusions are t...
متن کاملHyper–Kähler Quotients of Solvable Lie Groups
In this paper we apply the hyper-Kähler quotient construction to Lie groups with a left invariant hyper-Kähler structure under the action of a closed abelian subgroup by left multiplication. This is motivated by the fact that some known hyper-Kähler metrics can be recovered in this way by considering different Lie group structures on Hp× H (H: the quaternions). We obtain new complete hyper-Kähl...
متن کاملQuantization and Representations of Solvable Lie Groups
Introduction. In this note, we will announce a characterization of a connected, simply connected Type I solvable Lie group, G, and present a complete description of the set of all unitary equivalence classes of irreducible unitary representations of G together with a construction of an irreducible representation in each equivalence class. This result subsumes the results previously obtained on ...
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: Michigan Mathematical Journal
سال: 1991
ISSN: 0026-2285
DOI: 10.1307/mmj/1029004263