On the onedimensional representations of the general linear supergroup
Abstract
Because of its multiplicativity, the Berezinian is the character of the onedimensional representation of the general linear supergroup. We give an explicit construction of this representation on a space of tensors. Similarly, we construct the representation such that its character is the inverse of the Berezinian.
 Publication:

arXiv eprints
 Pub Date:
 March 2010
 arXiv:
 arXiv:1003.2490
 Bibcode:
 2010arXiv1003.2490T
 Keywords:

 Mathematics  Representation Theory;
 20G05
 EPrint:
 34 pages, 2 figures