# IMMANANTS OF TOTALLY POSITIVE MATRICES ARE NONNEGATIVE

@inproceedings{Stembridge1991IMMANANTSOT, title={IMMANANTS OF TOTALLY POSITIVE MATRICES ARE NONNEGATIVE}, author={John R. Stembridge}, year={1991} }

- Published 1991

If/ is an irreducible character of Sn, these functions are known as immanants; if/ is an irreducible character of some subgroup G of Sn (extended trivially to all of Sn by defining /(vv) = 0 for w$G), these are known as generalized matrix functions. Note that the determinant and permanent are obtained by choosing / to be the sign character and trivial character of Sn, respectively. We should point out that it is more traditional to use /(vv) in (1) where we have used /(W). This change can be… CONTINUE READING

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

Showing 1-10 of 20 extracted citations

## Combinatorial aspects of Hecke algebra characters

View 5 Excerpts

Method Support

Highly Influenced

## Immanants and Finite Point Processes

View 3 Excerpts

Highly Influenced

## GENERATING FUNCTIONS FOR HECKE ALGEBRA CHARACTERS

View 1 Excerpt

#### Citation Statistics

#### 81 Citations

Citations per Year

Semantic Scholar estimates that this publication has

**81**citations based on the available data.See our **FAQ** for additional information.

#### References

##### Publications referenced by this paper.

Showing 1-6 of 6 references

## Uber endliche Gruppen und Hermitesche Formen

View 3 Excerpts

Highly Influenced

## Some properties of totally positive matrices

View 2 Excerpts

Highly Influenced

## RINOTT, 'A generalized Cauchy-Binet formula and applications to total positivity and majorization

View 1 Excerpt

## Totally positive matrices

## Total positivity (Stanford

View 1 Excerpt

## MINC, 'Generalized matrix functions

View 2 Excerpts