کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9518057 | 1345516 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fixed points of involutive automorphisms of the Bruhat order
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fixed points of involutive automorphisms of the Bruhat order Fixed points of involutive automorphisms of the Bruhat order](/preview/png/9518057.png)
چکیده انگلیسی
Applying a classical theorem of Smith, we show that the poset property of being Gorenstein* over Z2 is inherited by the subposet of fixed points under an involutive poset automorphism. As an application, we prove that every interval in the Bruhat order on (twisted) involutions in an arbitrary Coxeter group has this property, and we find the rank function. This implies results conjectured by F. Incitti. We also show that the Bruhat order on the fixed points of an involutive automorphism induced by a Coxeter graph automorphism is isomorphic to the Bruhat order on the fixed subgroup viewed as a Coxeter group in its own right.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 195, Issue 1, 1 August 2005, Pages 283-296
Journal: Advances in Mathematics - Volume 195, Issue 1, 1 August 2005, Pages 283-296
نویسندگان
Axel Hultman,