Characteristic Cycles for a Class of Small Unitary Representations, II
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چکیده
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-module, then any increasing filtration of M 0 =M0 ⊂M1 ⊂M2 ⊂ · · · must terminate after a finite number of steps. Definition 2.4. An ideal P in a commutative ring R is said to be prime if
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Characteristic Cycles, Multiplicities and Degrees for a Class of Small Unitary Representations OSU Lie Groups Seminar March 2004
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