Takeshi Ikeda ; Tomoo Matsumura - Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

dmtcs:2522 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2522
Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum FormulaConference paper

Authors: Takeshi Ikeda 1; Tomoo Matsumura 2

[en]
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

[fr]
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.

https://doi.org/10.46298/dmtcs.2522
Source: HAL:hal-01337815v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] symplectic Grassmannian, Schubert calculus, Giambelli formula, Pfaffian, signed permutation, $k$-strict partition
Licence: Attribution 4.0 International (CC BY 4.0)

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