We study a generalization of the results in a previous paper to the case of SU(1|1) interpreted as the supercircle S^1|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 S^1|2.
The Peter-Weyl theorem for SU(1|1)
CARMELI, CLAUDIO;
2015-01-01
Abstract
We study a generalization of the results in a previous paper to the case of SU(1|1) interpreted as the supercircle S^1|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 S^1|2.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
