Journal of the American Mathematical Society

Quiver varieties and finite dimensional representations of quantum affine algebras

Author(s): Hiraku Nakajima
Journal: J. Amer. Math. Soc. 14 (2001), 145-238.
MSC (2000): Primary 17B37; Secondary 14D21, 14L30, 16G20, 33D80
Posted: October 2, 2000
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We study finite dimensional representations of the quantum affine algebra ${\mathbf{U}}_q(\widehat{\mathfrak{g}})$ using geometry of quiver varieties introduced by the author.

As an application, we obtain character formulas expressed in terms of intersection cohomologies of quiver varieties.

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Retrieve articles in Journal of the American Mathematical Society with MSC (2000): 17B37, 14D21, 14L30, 16G20, 33D80

Hiraku Nakajima
Affiliation: Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan
Email: nakajima@kusm.kyoto-u.ac.jp

DOI: 10.1090/S0894-0347-00-00353-2
PII: S 0894-0347(00)00353-2
Received by editor(s): December 9, 1999
Received by editor(s) in revised form: July 10, 2000
Posted: October 2, 2000
Additional Notes: The author was supported by the Grant-in-aid for Scientific Research (No.11740011), the Ministry of Education, Japan, and National Science Foundation Grant \#DMS 97-29992.
Copyright of article: Copyright 2000, American Mathematical Society

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