Spectral Extension of the Quantum Group Cotangent Bundle

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Spectral Extension of the Quantum Group Cotangent Bundle

The structure of a cotangent bundle is investigated for quantum linear groups GLq(n) and SLq(n). Using a q-version of the Cayley-Hamilton theorem we construct an extension of the algebra of differential operators on SLq(n) (otherwise called the Heisenberg double) by spectral values of the matrix of right invariant vector fields. We consider two applications for the spectral extension. First, we...

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ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2009

ISSN: 0010-3616,1432-0916

DOI: 10.1007/s00220-009-0785-5