Reducible characteristic cycles of Harish-Chandra modules for and the Kashiwara-Saito singularity

被引：2

作者：

Barchini, Leticia ^{[1
]}

Somberg, Petr ^{[2
]}

Trapa, Peter E. ^{[3
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Charles Univ Prague, Math Inst, Prague 8, Czech Republic

[3] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 12期

关键词：

Characteristic cycles; characteristic varieties; Harish-Chandra modules; Schubert varieties; POLYNOMIALS;

D O I：

10.1080/00927872.2019.1596280

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give examples of reducible characteristic cycles for irreducible Harish-Chandra modules for U(p, q) by analyzing a four-dimensional singular subvariety of We relate this singularity to the Kashiwara-Saito singularity arising for Schubert varieties for with reducible characteristic cycles, as well as recent related examples of Williamson. In particular, this gives another explanation of the simple highest weight modules for with reducible associated varieties that Williamson discovered.

引用

页码：4874 / 4888

页数：15

共 19 条

[1]

Adams J., 1992, PROGR MATH

[2]

Barchini L., ARXIV180103465

[3] On the reducibility of characteristic varieties [J].

Braden, T .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) :2037-2043

[4]

Brylinski J. L., 1982, INVENT MATH, V69, P437, DOI [10.1007/BF01389364, DOI 10.1007/BF01389364]

[5]

COLLINGWOOD DH, 1994, NILPOTENT ORBITS SEM

[6] THE ANNIHILATORS OF IRREDUCIBLE HARISH-CHANDRA MODULES FOR SU(P,Q) AND OTHER TYPE-A(N-1) GROUPS [J].

GARFINKLE, D .

AMERICAN JOURNAL OF MATHEMATICS, 1993, 115 (02) :305-369

[7]

Goresky M., 1988, ERGEBNISSE MATH IHRE, V14

[8]

JOSEPH A, 1989, ANN SCI ECOLE NORM S, V22, P569

[9] ON THE VARIETY OF A HIGHEST WEIGHT MODULE [J].

JOSEPH, A .

JOURNAL OF ALGEBRA, 1984, 88 (01) :238-278

[10] Geometric construction of crystal bases [J].

Kashiwara, M ;

Saito, Y .

DUKE MATHEMATICAL JOURNAL, 1997, 89 (01) :9-36

← 1 2 →