[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.3.4

PULL-BACK MORPHISMS, CONVOLUTION PRODUCTS AND STEINBERG VARIETIES

Kwon, Namhee (Department of Mathematics Daegu University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.3, 2011 , pp. 427-436 More about this Journal

Abstract

In this paper, we first show that the pull-back morphism between two K-groups of the Steinberg varieties, obtained respectively from partial flag varieties and quiver varieties of type A, is a ring homomorphism with respect to the convolution product. Then, we prove that this ring homomorphism yields a property of compatibility between two certain convolution actions.

Keywords

Partial flag varieties; quiver varieties; convolution products; K-theory;

Citations & Related Records

Reference

1	P. Baum, W. Fulton and R. MacPherson, Riemann-Roch and topological K- theory for singular varieties, Acta. Math. 143 (1979), 155-192 DOI ScienceOn
2	N. Chriss and V. Ginzburg, Representation theory and complex geometry, Birkhauser, Boston, 1997.
3	V. Ginzburg and E. Vasserot, Langlands reciprocity for affine quantum groups of type $A_{n}$ , International Math. Research Notices 3 (1993), 67-85.
4	A. Maffei, Quiver varieties of type A, Comment. Math. Helv. 80 (2005), 1-27.
5	H. Nakajima, Quiver varieties and finite dimensional representations of quantum affine algebras, J. Amer. Math. Soc. 14 (2001), 145-238. DOI ScienceOn