Non-Degeneracy of 2-Forms and Pfaffian
- 주제(키워드) Pfaffian , non-degeneracy , symplectic space
- 주제(기타) Multidisciplinary Sciences
- 설명문(일반) [Lee, Jae-Hyouk] Ewha Womans Univ, Dept Math, 52 Ewhayeodae Gil, Seoul 03760, South Korea
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted, gold
- 발행기관 MDPI
- 발행년도 2020
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000168817
- 본문언어 영어
- Published As https://dx.doi.org/10.3390/sym12020280
초록/요약
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.
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