On the one-dimensional representations of the general linear supergroup

Details On the one-dimensional representations of the general linear supergroup On the one-dimensional representations of the general linear supergroup

2010-03-12

arxiv.org/abs/1003.2490v1

Mathematics

Representation Theory

34 pages, 2 figures

Scientific paper

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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