• Corpus ID: 115177402

On the one-dimensional representations of the general linear supergroup

  title={On the one-dimensional representations of the general linear supergroup},
  author={Ivan M. Trishin},
  journal={arXiv: Representation Theory},
  • I. Trishin
  • Published 12 March 2010
  • Mathematics
  • arXiv: Representation Theory
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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