The Chow Rings of Generalized Grassmannians

The Chow Rings of Generalized Grassmannians: "

Abstract Based on the basis theorem of Bruhat–Chevalley (in Algebraic Groups and Their Generalizations: Classical Methods, Proceedings of Symposia in Pure Mathematics, vol. 56 (part 1), pp. 1–26, AMS, Providence, 1994) and the formula for multiplying Schubert classes obtained in (Duan, Invent. Math. 159:407–436, 2005) and programmed in (Duan and Zhao, Int. J. Algebra Comput. 16:1197–1210, 2006), we introduce a new method for computing the Chow rings of flag varieties (resp. the integral cohomology of homogeneous
spaces).

The method and results of this paper have been extended in (Duan and Zhao, arXiv:math.AT/0801.2444 and arXiv:math.AT/0711.2541) to obtain the integral cohomology rings of all complete flag manifolds, and to construct the integral cohomologies of Lie
groups in terms of Schubert classes.

• Content Type Journal Article
• DOI 10.1007/s10208-010-9058-0
• Authors
  
  
  • Haibao Duan, Chinese Academy of Sciences Hua Loo-Keng Key Laboratory of Mathematics, Academy of Mathematics and Systems Science Beijing 100190 China
  • Xuezhi Zhao, Capital Normal University Department of Mathematics & Institute of Mathematics and Interdisciplinary Science Beijing 100048 China
  
  

• Journal Foundations of Computational Mathematics
• Online ISSN 1615-3383
• Print ISSN 1615-3375

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