Non-Degeneracy of 2-Forms and Pfaffian
Department of Mathematics, Ewha Womans University, 52 Ewhayeodae-gil, Seodaemun-gu, Seoul 03760, Korea
Symmetry 2020, 12(2), 280; https://doi.org/10.3390/sym12020280 (registering DOI)
Received: 8 January 2020 / Revised: 3 February 2020 / Accepted: 10 February 2020 / Published: 13 February 2020
(This article belongs to the Special Issue Advances in Symmetric Tensor Decomposition Methods)
In this article, we study the non-degeneracy of 2-forms (skew symmetric
-tensor) along the Pfaffian of . We consider a symplectic vector space with a non-degenerate skew symmetric -tensor , and derive various properties of the Pfaffian of . As an application we show the non-degenerate skew symmetric -tensor has a property of rigidity that it is determined by its exterior power.
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MDPI and ACS Style
Lee, J.-H. Non-Degeneracy of 2-Forms and Pfaffian. Symmetry 2020, 12, 280.
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Lee J-H. Non-Degeneracy of 2-Forms and Pfaffian. Symmetry. 2020; 12(2):280.Chicago/Turabian Style
Lee, Jae-Hyouk. 2020. "Non-Degeneracy of 2-Forms and Pfaffian." Symmetry 12, no. 2: 280.
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