Galois groups associated with CM-fields, skew-symmetric matrices and orthogonal matrices
نویسندگان
چکیده
منابع مشابه
Exponentials of skew-symmetric matrices and logarithms of orthogonal matrices
The authors show that there is a generalization of Rodrigues’ formula for computing the exponential map exp: so(n)→SO(n) from skewsymmetric matrices to orthogonal matrices when n ≥ 4, and give a method for computing some determination of the (multivalued) function log: SO(n) → so(n). The key idea is the decomposition of a skew-symmetric n×n matrix B in terms of (unique) skew-symmetric matrices ...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1990
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500009046