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A Classification of Unitary Highest Weight Modules of the Quantum Analogue of the Symmetric Pair (An, An − 1)

✍ Scribed by Valentina Guizzi

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 341 KB
Volume: 192
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6909

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✦ Synopsis

We study the irreducibility and unitarity of highest weight modules of the Ž . quantized enveloping algebra associated to ᒐ ᒒ n, 1 . We obtain a classification of w x these modules analogous to that of EHW in the classical context. We also Ž Ž .. compute all commutation relations between root vectors in U U ᒐ ᒒ n, 1 . ᮊ 1997 q

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A Classification of Unitary Highest Weight Modules of the Quantum Analogue of the Symmetric Pair (An,&#xa0;An&#xa0;−&#xa0;1)

✦ Synopsis

A Classification of Unitary Highest Weight Modules of the Quantum Analogue of the Symmetric Pair (An, An − 1)