MONOID EMBEDDINGS OF SYMMETRIC VARIETIES

被引：0

作者：

Can, Mahir Bilen ^{[1
]}

Howe, Roger ^{[2
]}

Renner, Lex ^{[3
]}

机构：

[1] Tulane Univ, Dept Math, 6823 St Charles Ave, New Orleans, LA 70118 USA

[2] Yale Univ, Dept Math, 442 Dunham Lab,10 Hillhouse Ave, New Haven, CT 06511 USA

[3] Western Univ, Middlesex Coll, Dept Math, London, ON N6A 5B7, Canada

来源：

COLLOQUIUM MATHEMATICUM | 2019年 / 157卷 / 01期

关键词：

Borel orbits; reductive monoids; symmetric varieties; B-ORBITS; INVOLUTIONS; CONGRUENCE;

D O I：

10.4064/cm7644-7-2018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a J-irreducible monoid. Using this information, we study a special class of compactifications of symmetric varieties. Extending the work of Springer on involutions, we describe the parametrizing sets of Borel orbits in these special embeddings.

引用

页码：17 / 33

页数：17

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