Abstract
In this chapter it is also shown that integrals over functions of vectors and matrices invariant under the (unitary-)orthosymplectic group can be reduced by cancelling equal numbers of even and odd components. We have to determine the form of the functions invariant under these groups for the smallest non-trivial cases and their integral. Generalization to several vectors and matrices and to those with more components is performed as for the superunitary case.
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Wegner, F. (2016). Integral Theorems for the (Unitary-)Orthosymplectic Group. In: Supermathematics and its Applications in Statistical Physics. Lecture Notes in Physics, vol 920. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49170-6_16
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DOI: https://doi.org/10.1007/978-3-662-49170-6_16
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Publisher Name: Springer, Berlin, Heidelberg
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