Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

Takeshi Ikeda; Tomoo Matsumura

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Pages (from-to)	309-320
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
Publication status	Published - 2015
Externally published	Yes
Event	27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, Korea, Republic of Duration: 2015 Jul 6 → 2015 Jul 10

Keywords

Giambelli formula
K-strict partition
Pfaffian
Schubert calculus
Signed permutation
Symplectic Grassmannian

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)
Discrete Mathematics and Combinatorics

Cite this

@article{16147459777c4f40a7fef77f52b1a12a,

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",

year = "2015",

language = "English",

pages = "309--320",

journal = "Discrete Mathematics and Theoretical Computer Science",

issn = "1365-8050",

publisher = "Maison de l'informatique et des mathematiques discretes",

}

TY - JOUR

T1 - Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula

AU - Ikeda, Takeshi

AU - Matsumura, Tomoo

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Giambelli formula

KW - K-strict partition

KW - Pfaffian

KW - Schubert calculus

KW - Signed permutation

KW - Symplectic Grassmannian

UR - http://www.scopus.com/inward/record.url?scp=85082994335&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85082994335&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85082994335

SN - 1365-8050

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

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this