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Schur Q-functions and cohomology of isotropic Grassmannians

  • Tadeusz Józefiak (a1)

We prove that for homogeneous spaces of isotropic Grassmannians the Borel map sends the basis of a truncated algebra of Schur Q-functions consisting of Q-functions or P-functions (depending on a case) onto the basis dual to the basis of Schubert cycles.

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[3] H. Hiller . Combinatorics and intersection of Schubert varieties. Comment. Math. Helv. 57 (1982), 4159.

[4] H. Hiller and B. Boe . Pieri formula for SO2n+1/Un and Spn/Un. Advances in Math. 62 (1986), 4967.

[10] J. R. Stembridge . Shifted tableaux and the projective representations of symmetric groups. Advances in Math. 74 (1989), 87134.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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