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New Facts about Berezinians

Hovhannes M. Khudaverdian, Theodore Th. Voronov

math-pharXiv:math-ph/0512031

Abstract

We consider a new formula for Berezinian (superdeterminant). The Berezinian of a supermatrix A is expressed as the ratio of polynomial invariants of A. This formula follows from recurrence relations existing for supertraces of exterior powers.

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