# 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} }

## 3 Citations

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

- Mathematics
- 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…

### On similar matrices over the dual numbers

- Mathematics, Computer Science
- 2009

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

### Hook young diagrams with applications to combinatorics and to representations of Lie superalgebras

- Mathematics
- 1987

### Introduction to Superanalysis

- Mathematics
- 1987

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

- Mathematics
- 1979

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…