On the Structure of Nilpotent Normal Form Modules
β Scribed by James Murdock
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 223 KB
- Volume
- 180
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We define a generalization of the Shapovalov form for contragradient Lie algebras and compute its determinant for Generalized Verma modules induced Ε½ . from a well-embedded sl 2, β«ήβ¬ subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.
This is a combinatorial study of the PoincarΓ© polynomials of isotypic components of a natural family of graded G L(n)-modules supported in the closure of a nilpotent conjugacy class. These polynomials generalize the Kostka-Foulkes polynomials and are q-analogues of Littlewood-Richardson coefficients
In this paper, a modi"ed normal form approach for obtaining normal forms of parametrically excited systems is presented. This approach provides a number of signi"cant advantages over the existing normal form approaches, and improves the associated calculations. The approach lends itself more readily
Let G be a polycyclic group. We prove that if the nilpotent length of each finite quotient of G is bounded by a fixed integer n, then the nilpotent length of G is at most n. The case n s 1 is a well-known result of Hirsch. As a consequence, we obtain that if the nilpotent length of each 2-generator