Strictly small representations and a reduction theorem for the unitary dual
نویسندگان
چکیده
منابع مشابه
Characteristic Cycles for a Class of Small Unitary Representations, II
Definition 2.1. A commutative ring R is Noetherian if every chain of ideals in R I0 ⊂ I1 ⊂ I2 ⊂ · · · terminates after a finite number of steps (i.e., there is an interger k such that Is = Ik if s ≥ k). Remark 2.2. Polynomial rings R [X1, . . . , Xn] are Noetherian if R is. In particular, S (p) = C [p∗] is Noetherian. Theorem 2.3. If R is a Noetherian ring, and M is a finitely generated R-modul...
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15 صفحه اولThe Moment Mapping for Unitary Representations
For any unitary representation of an arbitrary Lie group I construct a moment mapping from the space of smooth vectors of the representation into the dual of the Lie algebra. This moment mapping is equivariant and smooth. For the space of analytic vectors the same construction is possible and leads to a real analytic moment mapping.
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ژورنال
عنوان ژورنال: Representation Theory of the American Mathematical Society
سال: 2001
ISSN: 1088-4165
DOI: 10.1090/s1088-4165-01-00127-3