- the
Berezinian or
superdeterminant is a
generalization of the
determinant to the case of supermatrices. The name is for
Felix Berezin. The
Berezinian plays...
-
supermatrices X and Y. The
Berezinian (or superdeterminant) of a
square supermatrix is the Z2-graded
analog of the determinant. The
Berezinian is only well-defined...
-
variables is
named for him, as is the
closely related construction of the
Berezinian which may be
regarded as the "super"-analog of the determinant. Berezin...
-
quantum groups, the
Capelli determinant on
Capelli matrices, and the
Berezinian on
supermatrices (i.e.,
matrices whose entries are
elements of Z 2 {\displaystyle...
-
freedom in the
theory and Λ {\displaystyle \Lambda } is a
cutoff scale.
Berezinian N. Berline, E. Getzler, M. Vergne, Heat
Kernels and
Dirac Operators, Springer-Verlag...
- _{i}x^{\prime j})}
where sdet
denotes the superdeterminant, also
known as the
Berezinian. Then the odd
Poisson bracket is
defined as ( f , g ) := f ∂ ← i π i j...
- {\sinh L{\sqrt {A}}}{L{\sqrt {A}}}}.}
Abstract Wiener space Berezinian Fredholm determinant Fujikawa method Faddeev–Popov
ghost (Branson 1993);...
- {\begin{pmatrix}A-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...
-
transformation that
preserves the
antibracket is
called a P-transformation. If the
Berezinian of a P-transformation is
equal to one then it is
called an SP-transformation...
- right-hand side
commuting with each other.
Other famous examples, such as
Berezinians,
Moore and
Study determinants,
Capelli determinants, and Cartier-Foata-type...
