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Schur Q-functions and cohomology of isotropic Grassmannians

  • Tadeusz Józefiak (a1)
Abstract
Abstract

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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[1]I. N. Bernstein , I. M. Gelfand and S. I. Gelfand . Schubert cells and cohomology of the spaces G/P. Math. Surveys 28 (1973), 326 (in Russian).

[2]M. Demazure . Invariants symétrique des groupes de Weyl et torsion. Invent. Math. 21 (1973), 287301.

[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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