arXiv subjects

I. M. Trishin

Publications and source records attributed to I. M. Trishin.

2 recordsLinked to original sources

arXiv2010

On the one-dimensional representations of the general linear supergroup

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.

math.RT↗

arXiv2009

On similar matrices over the dual numbers

Matrices over the dual numbers are considered. We propose an approach to classify these matrices up to similarity. Some preliminary results on the realization of this approach are obtained. In particular, we produce explicitly canonical matrices of orders 2 and 3.

math.RA↗