We study a generalization of the results in [4] to the case of SU(1|1) interpreted as the supercircle S1|2. We describe all of its finite dimensional complex irreducible representations,we give a reducibility result for representations not containing the trivial character, and we compute explicitly the corresponding matrix elements. In the end we give the Peter-Weyl theorem for S1|2.
The Peter-Weyl theorem for SU(1|1) / Carmeli, C; Fioresi, R.; Kwok, S.. - In: P-ADIC NUMBERS, ULTRAMETRIC ANALYSIS, AND APPLICATIONS. - ISSN 2070-0466. - STAMPA. - 7:4(2015), pp. 266-275. [10.1134/S2070046615040032]
The Peter-Weyl theorem for SU(1|1)
FIORESI, RITA;KWOK, STEPHEN DIWEN
2015
Abstract
We study a generalization of the results in [4] to the case of SU(1|1) interpreted as the supercircle S1|2. We describe all of its finite dimensional complex irreducible representations,we give a reducibility result for representations not containing the trivial character, and we compute explicitly the corresponding matrix elements. In the end we give the Peter-Weyl theorem for S1|2.File in questo prodotto:
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