𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strongly nilpotent matrices and Gelfand–Zetlin modules

✍ Scribed by Serge Ovsienko


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
280 KB
Volume
365
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis


Let X n be the variety of n × n matrices, which k × k submatrices, formed by the first k rows and columns, are nilpotent for any k = 1, . . . , n. We show, that X n is a complete intersection of dimension (n -1)n/2 and deduce from it, that every character of the Gelfand-Zetlin subalgebra in U(gl n ) extends to an irreducible representation of U(gl n ).


📜 SIMILAR VOLUMES