کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416870 | 1336897 | 2011 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Maximal Linear Subspaces of Strong Self-Dual 2-forms and the Bonan 4-form Maximal Linear Subspaces of Strong Self-Dual 2-forms and the Bonan 4-form](/preview/png/6416870.png)
The notion of self-duality of 2-forms in 4-dimensions plays an eminent role in many areas of mathematics and physics, but although the 2-forms have a genuine meaning related to curvature and gauge-field-strength in higher dimensions also, their “self-duality” is something which is almost avoided above 4-dimensions. We show that self-duality of 2-forms is a very natural notion in higher (even) dimensions also and we prove the equivalence of some scattered and rarely used definitions in the literature. We demonstrate the usefulness of this higher self-duality by studying it in 8-dimensions and we derive a natural expression for the Bonan form in terms of self-dual 2-forms and we give an explicit expression of the local action of SO(8) on the Bonan form.
Journal: Linear Algebra and its Applications - Volume 434, Issue 5, 1 March 2011, Pages 1200-1214