Name
Abstract | ||
|---|---|---|
Based on the formula for multiplying Schubert classes obtained in [17], we develop an algorithm computing the product of two arbitrary Schubert classes in a flag manifold G/H, where G is a compact connected Lie group and H C G is the centralizer of a one-parameter subgroup in G.Since all Schubert classes on G/H constitute a basis for the integral cohomology H*(G/H), the algorithm gives also a method to compute the integral cohomology ring H*(G/H) independent of the classical spectral sequence method of Leray and Borel [32, 33, 8, 9]. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1142/S021819670600344X | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
flag manifolds, Schubert varieties, cohomology, Cartan matrix | Algebra,Generalized flag variety,Schubert calculus,Algorithm,Schubert polynomial,Cohomology ring,Schubert variety,Spectral sequence,Cohomology,Mathematics,Centralizer and normalizer | Journal |
Volume | Issue | ISSN |
16 | 6 | 0218-1967 |
Citations | PageRank | References |
1 | 0.56 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haibao Duan | 1 | 6 | 3.26 |
| Xuezhi Zhao | 2 | 2 | 1.06 |