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

Authors: Ikeda, Takeshi and Matsumura, Tomoo

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


Source : oai: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
Submitted on: November 21, 2016
Keywords: symplectic Grassmannian,Schubert calculus,Giambelli formula,Pfaffian,signed permutation,$k$-strict partition,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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