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arXiv 0709.3574hep-th
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Dirac参数化中的4 × 4矩阵:逆问题和行列式

4 x 4 matrices in Dirac parametrization: inversion problem and determinant

V. M. Red'kov, A. A. Bogush, N. G. Tokarevskaya

摘要:

研究了复4 × 4 -矩阵G的Dirac张量参数(A,B,A_{l},B_{l},F_{kl})或等价的4个复4-向量(k,m,n,l)的参数化.在给定的参数化中,解决了任何4 x 4矩阵G的求逆问题。找到了任意矩阵G的行列式的表达式:det G = F(k,m,n,l).

英文摘要:

Parametrization of complex 4 x 4 - matrices G in terms of Dirac tensor parameters (A,B,A_{l},B_{l},F_{kl}) or equivalent four complex 4-vectors (k,m,n,l) is investigated. In the given parametrization, the problem of inverting any 4 x 4 matrix G is solved. Expression for determinant of any matrix G is found: det G = F(k,m,n,l).

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