On the one-dimensional representations of the general linear supergroup
Representation Theory
2010-03-15 v1
Abstract
Because of its multiplicativity, the Berezinian is the character of the one-dimensional 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.
Cite
@article{arxiv.1003.2490,
title = {On the one-dimensional representations of the general linear supergroup},
author = {I. M. Trishin},
journal= {arXiv preprint arXiv:1003.2490},
year = {2010}
}
Comments
34 pages, 2 figures