CM–fields and skew–symmetric matrices
✍ Scribed by Eva Bayer-Fluckiger; Grégory Berhuy; Pascale Chuard–Koulmann
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 110 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
Let R ∈ C m×m and S ∈ C n×n be nontrivial involution matrices; i.e. R = R -1 = ±I and S = S -1 = ±I. An m × 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