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Identities of symmetric and skew-symmetric matrices in characteristicp

✍ Scribed by Gábor Révész; Jenö Szigeti

Book ID
112911347
Publisher
Springer Milan
Year
1995
Tongue
Italian
Weight
449 KB
Volume
44
Category
Article
ISSN
0009-725X

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📜 SIMILAR VOLUMES

Standard identities for skew-symmetric m
Standard identities for skew-symmetric matrices
✍ Jordan Dale Hill 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 137 KB

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

Matrix equations over -symmetric and -sk
Matrix equations over -symmetric and -skew symmetric matrices
✍ Mehdi Dehghan; Masoud Hajarian 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 373 KB

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