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Left-covariant differential calculi on S L q ( N )

Konrad SchmüdgenAxel Schüler — 1997

Banach Center Publications

We study N 2 - 1 dimensional left-covariant differential calculi on the quantum group S L q ( N ) . In this way we obtain four classes of differential calculi which are algebraically much simpler as the bicovariant calculi. The algebra generated by the left-invariant vector fields has only quadratic-linear relations and posesses a Poincaré-Birkhoff-Witt basis. We use the concept of universal (higher order) differential calculus associated with a given left-covariant first order differential calculus. It turns out...

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