@article{7d7aa3e74c3b45aa8148c551d672589b,
title = "Non-degeneracy of 2-forms and pfaffian",
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.",
keywords = "Non-degeneracy, Pfaffian, Symplectic space",
author = "Lee, {Jae Hyouk}",
note = "Funding Information: Funding: This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2019R1F1A1058962). Funding Information: This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2019R1F1A1058962). Author expresses his gratitude to Naichung Conan Leung for useful suggestion and discussion. Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = feb,
day = "1",
doi = "10.3390/sym12020280",
language = "English",
volume = "12",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "2",
}