Claudio Carmeli

activity

20152021

collaborators

4 papers

math.RT2021

Unitary Harish-Chandra representations of real supergroups

C. Carmeli, R. Fioresi, V. S. Varadarajan

We give conditions for unitarizability of Harish-Chandra super modules for Lie supergroups and superalgebras.

math.RT2018

Super Bundles

C. Carmeli, R. Fioresi, V. S. Varadarajan

In this paper we give a brief account of the main aspects of the theory of associated and principal super bundles. As an application, we review the Borel-Weil-Bott Theorem in the s…

math.RT2015

Highest weight Harish-Chandra supermodules and their geometric realizations

C. Carmeli, R. Fioresi, V. S. Varadarajan

In this paper we discuss the highest weight $k_{r}$ -finite representations of the pair $(g_{r}, k_{r})$ consisting of $g_{r}$ , a real form of a complex basic Lie sup…

math.RT2015

The Peter-Weyl Theorem for SU(1|1)

C. Carmeli, R. Fioresi, S. D. Kwok

We study a generalization of the results \in \cite{cfk} to the case of $S U (1∣1)$ interpreted as the supercircle $S^{1∣2}$ . We describe all of its finite dimensional complex irreduc…