Lorentz不变二阶张量与不可约矩阵集
Lorentz-invariant second-order tensors and an irreducible set of matrices
摘要:
我们证明,乘标量,闵可夫斯基度量张量是唯一的二阶张量是洛伦兹不变的。为了证明这一点,我们表明,一组特定的三个$4\times 4$矩阵,由两个旋转矩阵加上洛伦兹助推,是不可约的。
英文摘要:
We prove that, up to multiplication by a scalar, the Minkowski metric tensor is the only second-order tensor that is Lorentz-invariant. To prove this, we show that a specific set of three $4\times 4$ matrices, made of two rotation matrices plus a Lorentz boost, is irreducible.
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