Displaying similar documents to “Quantum super-integrable systems as exactly solvable models.”

On *-representations of U q ( s l ( 2 ) ) : more real forms

Eduard Vaysleb (1997)

Banach Center Publications

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The main goal of this paper is to do the representation-theoretic groundwork for two new candidates for locally compact (nondiscrete) quantum groups. These objects are real forms of the quantized universal enveloping algebra U q ( s l ( 2 ) ) and do not have real Lie algebras as classical limits. Surprisingly, their representations are naturally described using only bounded (in one case only two-dimensional) operators. That removes the problem of describing their Hopf structure ’on the Hilbert space...