PULL-BACK MORPHISMS, CONVOLUTION PRODUCTS AND STEINBERG VARIETIES

• 발행기관: 충청수학회
• 저자명: Namhee Kwon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 24, No. 3, 427~436쪽, 전체 10쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2011.08.30

영문 초록

In this paper, we ¯rst show that the pull-back mor- phism between two K-groups of the Steinberg varieties, obtained respectively from partial °ag varieties and quiver varieties of type A, is a ring homomorphism with respect to the convolution prod-uct. Then, we prove that this ring homomorphism yields a property of compatibility between two certain convolution actions.

목차

1. Introduction

2. Preliminaries

3. Convolution actions on ¯bers, partial °ag variety case

4. Convolution actions on ¯bers, quiver variety case

5. Compatibility between two convolution actions