# Cellular Bases for Algebras with a Jones Basic Construction

@article{Enyang2011CellularBF, title={Cellular Bases for Algebras with a Jones Basic Construction}, author={John Enyang and Frederick M. Goodman}, journal={Algebras and Representation Theory}, year={2011}, volume={20}, pages={71-121} }

We construct analogues for the Brauer, BMW, partition, and Jones–Temperley–Lieb algebras of the Murphy basis of the Hecke algebra of the symmetric group. The bases are cellular bases indexed by paths on branching diagrams, and compatible with restriction of cell modules. The Jucys–Murphy elements for each class of algebras act by triangular matrices on the Murphy basis.

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-7 OF 7 CITATIONS

## Diagram algebras, dominance triangularity, and skew cell modules

VIEW 8 EXCERPTS

CITES METHODS & BACKGROUND

## 3 0 Ju l 2 01 8 The co-Pieri rule for stable Kronecker coefficients

VIEW 3 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## Tonal partition algebras: fundamental and geometrical aspects of representation theory

VIEW 1 EXCERPT

CITES BACKGROUND

## Cellularity of wreath product algebras and A-Brauer algebras☆

VIEW 2 EXCERPTS

CITES METHODS & BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 30 REFERENCES