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  1. Home > Articles & Issues >
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  3. Equivariant Giambell ...
Conference paper

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

Takeshi Ikeda (1), Tomoo Matsumura (2)
(1) Okayama University of Science
(2) Korea Advanced Institute of Science and Technology
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Imported on
November 21, 2016
Published on
December 31, 2014
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Proceedings
DOI
10.46298/dmtcs.2522
License
Attribution 4.0 International (CC BY 4.0)
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Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

Takeshi Ikeda (1), Tomoo Matsumura (2)
(1) Okayama University of Science
(2) Korea Advanced Institute of Science and Technology
Abstract
English
We prove an explicit closed formula, written as a sum of Pfaffians, which describes each equivariant Schubert class for the Grassmannian of isotropic subspaces in a symplectic vector space
French
On démontre une formule close explicite, écrite comme une somme de Pfaffiens, qui décrit toute classe de Schubert équivariante pour la Grassmannienne des sous-espaces isotropes dans un espace vectoriel symplectique.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • symplectic Grassmannian
  • Schubert calculus
  • Giambelli formula
  • Pfaffian
  • signed permutation
  • $k$-strict partition
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