Non-degeneracy of 2-forms and pfaffian

Jae Hyouk Lee

doi:10.3390/sym12020280

Non-degeneracy of 2-forms and pfaffian

Jae Hyouk Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this article, we study the non-degeneracy of 2-forms (skew symmetric (0, 2)-tensor) a along the Pfaffian of α. We consider a symplectic vector space V with a non-degenerate skew symmetric (0, 2)-tensor ω, and derive various properties of the Pfaffian of α. As an application we show the non-degenerate skew symmetric (0, 2)-tensor ω has a property of rigidity that it is determined by its exterior power.

Original language	English
Article number	280
Journal	Symmetry
Volume	12
Issue number	2
DOIs	https://doi.org/10.3390/sym12020280
State	Published - 1 Feb 2020

Bibliographical note

Publisher Copyright:
© 2020 by the authors.

Keywords

Non-degeneracy
Pfaffian
Symplectic space

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10.3390/sym12020280

Cite this

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abstract = "In this article, we study the non-degeneracy of 2-forms (skew symmetric (0, 2)-tensor) a along the Pfaffian of α. We consider a symplectic vector space V with a non-degenerate skew symmetric (0, 2)-tensor ω, and derive various properties of the Pfaffian of α. As an application we show the non-degenerate skew symmetric (0, 2)-tensor ω has a property of rigidity that it is determined by its exterior power.",

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KW - Non-degeneracy

KW - Pfaffian

KW - Symplectic space

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Non-degeneracy of 2-forms and pfaffian

Abstract

Bibliographical note

Keywords

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