Definition of Superdeterminant. Meaning of Superdeterminant. Synonyms of Superdeterminant
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Definition of Superdeterminant
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- In mathematics and theoretical physics, the Berezinian or superdeterminant is a generalization of the determinant to the case of supermatrices. The name... - mean the index runs over either the left or right Weyl spinors. The superdeterminant of the supervierbein, | e | {\displaystyle \left|e\right|} , gives... - BD^{-1}C&0\\D^{-1}C&I\end{pmatrix}}} So we have the Berezinian (or superdeterminant) of the matrix J {\displaystyle \mathrm {J} } , which is the even function... - }=\rho /{\rm {sdet}}(\partial _{i}x^{\prime j})} where sdet denotes the superdeterminant, also known as the Berezinian. Then the odd Poissonbracket is defined... - (YX)\,} for homogeneoussupermatrices X and Y. The Berezinian (or superdeterminant) of a squaresupermatrix is the Z2-graded analog of the determinant...