✦ LIBER ✦

‘Mass formulae’ for tensor operators connected with Lie superalgebras

✍ Scribed by Kazimierz Brągiel

Publisher: Springer
Year: 1989
Tongue: English
Weight: 210 KB
Volume: 18
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00399969

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✦ Synopsis

Simple relations, given by the trace and supertrace, between expectation values of tensor operators connected with a Lie superalgebra g are shown to be generated by the Weyl group of a Lie algebra g0 acting on a Lie superalgebra.

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In this Letter, the notion of a tensor operator connected with a unitary, smooth, finitedimensional representation of a compact, matrix quantum group is introduced and investigated. It ~s proved that, for compact matrix, simply reducible quantum groups, there exists a theorem analogous to the famous