Skew-symmetric matrices and Palatini scrolls
โ Scribed by Daniele Faenzi; Maria Lucia Fania
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 321 KB
- Volume
- 347
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let R โ C mรm and S โ C nรn be nontrivial involution matrices; i.e. R = R -1 = ยฑI and S = S -1 = ยฑI. An m ร n complex matrix A is said to be a (R, S)-symmetric ((R, S)skew symmetric) matrix if RAS = A (RAS = -A). The (R, S)-symmetric and (R, S)-skew symmetric matrices have many special properties an
This paper addresses the finest block triangularization of nonsingular skewsymmetric matrices by simultaneous permutations of rows and columns. Hierarchical relations among components are represented in terms of signed posets. The finest block-triangular form can be computed efficiently with the aid
Let n be a positive, even integer and let K n (F ) denote the subspace of skew-symmetric matrices of Mn(F ), the full matrix algebra with coefficients in a field F. A theorem of Kostant states that K n (F) satisfies the (2n -2)-fold standard identity s 2n-2 . In this paper we refine this result by s