Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

Takeshi Ikeda; Tomoo Matsumura

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

研究成果: Conference article › 査読

抄録

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.

本文言語	English
ページ（範囲）	309-320
ページ数	12
ジャーナル	Discrete Mathematics and Theoretical Computer Science
出版ステータス	Published - 2015
外部発表	はい
イベント	27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, Korea, Republic of 継続期間: 2015 7月 6 → 2015 7月 10

ASJC Scopus subject areas

理論的コンピュータサイエンス
コンピュータサイエンス（全般）
離散数学と組合せ数学

他のファイルとリンク

引用スタイル

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title = "Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula",

abstract = "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.",

keywords = "Giambelli formula, K-strict partition, Pfaffian, Schubert calculus, Signed permutation, Symplectic Grassmannian",

author = "Takeshi Ikeda and Tomoo Matsumura",

note = "Publisher Copyright: {\textcopyright} 2015 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France; 27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 ; Conference date: 06-07-2015 Through 10-07-2015",

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AU - Ikeda, Takeshi

AU - Matsumura, Tomoo

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KW - Giambelli formula

KW - K-strict partition

KW - Pfaffian

KW - Schubert calculus

KW - Signed permutation

KW - Symplectic Grassmannian

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AN - SCOPUS:85082994335

SN - 1462-7264

SP - 309

EP - 320

JO - Discrete Mathematics and Theoretical Computer Science

JF - Discrete Mathematics and Theoretical Computer Science

T2 - 27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015

Y2 - 6 July 2015 through 10 July 2015

ER -

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

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ASJC Scopus subject areas

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