Determinant and Pfaffian of sum of skew symmetric matrices
β Scribed by Tin-Yau Tam; Mary Clair Thompson
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 177 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
We completely describe the determinants of the sum of orbits of two real skew symmetric matrices, under similarity action of orthogonal group and the special orthogonal group, respectively. We also study the Pfaffian case and the complex case.
π SIMILAR VOLUMES
In the present paper we prove an identity concerning Ptaflians similar to the wellknown Grassmann PlΓΌcker relations for determinants, using tools from multilinear algehra. More precisely, we shall derive the identity as a corollary to an equation concerning skew-symmetric bilinear forms and operator
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