On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation

@article{Trishin2002OnRO,
  title={On reduction of elements of the full matrix superalgebra to a block-diagonal form by conjugation},
  author={Ivan M. Trishin},
  journal={Linear Algebra and its Applications},
  year={2002},
  volume={357},
  pages={59-82}
}
  • I. Trishin
  • Published 15 December 2002
  • Mathematics
  • Linear Algebra and its Applications
3 Citations

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

On similar matrices over the dual numbers

Preliminary results on the realization of this approach to classify matrices over the dual numbers up to similarity are obtained and explicitly canonical matrices of orders 2 and 3 are produced.

15–XX Linear and multilinear algebra; matrix theory

  • Mathematics
  • 2003
van de Craats, Jan Vectoren en matrices. (Dutch) [Vectors and matrices] de Gee, M. Wiskunde in werking.Deel I. (Dutch) [Mathematics at work. Part I] Hohn, Franz E. Elementary matrix algebra. Liebler,

References

SHOWING 1-7 OF 7 REFERENCES

Introduction to Superanalysis

1. Grassmann Algebra.- 2. Superanalysis.- 3. Linear Algebra in Z2-Graded Spaces.- 4. Supermanifolds in General.- 5. Lie Superalgebras.- 1. Lie Superalgebras.- 2. Lie Supergroups.- 3. Laplace-Casimir

Symmetric functions and Hall polynomials

I. Symmetric functions II. Hall polynomials III. HallLittlewood symmetric functions IV. The characters of GLn over a finite field V. The Hecke ring of GLn over a finite field VI. Symmetric functions