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  • The Chow Ring of flag manifolds
    Dane Badawcze
    open access

    Schubert calculus is the intersection theory of 19th century. Justifying this calculus is the content of the 15th problem of Hilbert. In the course to establish the foundation of algebraic geometry, Van der Vaerden and A. Weil attributed the problem to the determination of the chow ring of flag manifolds G/P, where G is a compact Lie group and P is...

  • Database of the estimations of the numbers of simplices of triangulation of some classical Lie groups
    Dane Badawcze
    open access
    • X. Zhao
    • W. Marzantowicz
    • G. Graff
    • H. Duan

    It is know that any smooth manifold can be triangulated. The number of simplices of triangulation of a given manifold depends on its topological and combinatorial structure. The data consists of the lower bounds for the numbers of simplices of each dimension of any triangulation of classical Lie groups U(n), SU(n), Sp(n), and SO(n) for n up to 25. Each...