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# Generalization of the Bloch-Messiah-Zumino theorem

**J. Dobaczewski
**

Institute of Theoretical Physics, Warsaw University,

Hoza 69, PL-00681, Warsaw, Poland

### Abstract:

It is shown how to construct a basis in which two arbitrary complex
antisymmetric matrices *C* and *C*' acquire simultaneously
canonical forms. The present construction is not restricted by any
conditions on properties of the *C*^{+}*C*' matrix. Canonical bases
pertaining to the generator-coordinate-method treatment of
many-fermion systems are discussed.

*Jacek Dobaczewski*

*2000-02-11*