𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Structure of Nilpotent Normal Form Modules

✍ 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.


πŸ“œ SIMILAR VOLUMES


On the Determinant of Shapovalov Form fo
✍ Alexandre Khomenko; Volodymyr Mazorchuk πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 146 KB

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, ‫ރ‬ subalgebra. As a corollary we obtain a generalization of the BGG-theorem for Generalized Verma modules.

Graded Characters of Modules Supported i
✍ Mark Shimozono; Jerzy Weyman πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 306 KB

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

ON THE NORMAL FORMS OF CERTAIN PARAMETRI
✍ W.Y. ZHANG; K. HUSEYIN; M. YE πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 211 KB

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

On the Nilpotent Length of Polycyclic Gr
✍ GΓ©rard Endimioni πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 146 KB

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