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Non-Degeneracy of 2-Forms and Pfaffian

Title
Non-Degeneracy of 2-Forms and Pfaffian
Authors
Lee, Jae-Hyouk
Ewha Authors
이재혁
SCOPUS Author ID
이재혁scopus
Issue Date
2020
Journal Title
SYMMETRY-BASEL
ISSN
2073-8994JCR Link
Citation
SYMMETRY-BASEL vol. 12, no. 2
Keywords
Pfaffiannon-degeneracysymplectic space
Publisher
MDPI
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
In this article, we study the non-degeneracy of 2-forms (skew symmetric (0,2)-tensor) alpha along the Pfaffian of alpha. We consider a symplectic vector space Vwith a non-degenerate skew symmetric (0,2)-tensor omega, and derive various properties of the Pfaffian of alpha. As an application we show the non-degenerate skew symmetric (0,2)-tensor omega has a property of rigidity that it is determined by its exterior power.
DOI
10.3390/sym12020280
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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