OPERATIONS ON ARC DIAGRAMS AND DEGENERATIONS FOR INVARIANT SUBSPACES OF LINEAR OPERATORS

被引：0

作者：

Kosakowska, Justyna ^{[1
]}

Schmidmeier, Markus ^{[2
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

[2] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 08期

关键词：

Degenerations; partial orders; Hall polynomials; nilpotent operators; invariant subspaces; Littlewood-Richardson tableaux; REPRESENTATIONS; MODULES; QUIVERS; EXTENSIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are algebraic groups acting on these varieties, and we give dimensions of orbits of these actions. Moreover, a combinatorial characterization of the partial order given by degenerations is described.

引用

页码：5475 / 5505

页数：31

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