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Corpus ID: 115177402

On the one-dimensional representations of the general linear supergroup

@article{Trishin2010OnTO,
title={On the one-dimensional representations of the general linear supergroup},
author={Ivan M. Trishin},
journal={arXiv: Representation Theory},
year={2010}
}

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.

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