Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials

@inproceedings{Bernard1998LittlewoodRichardsonCA,
  title={Littlewood-Richardson coefficients and Kazhdan-Lusztig polynomials},
  author={Bernard and Jean-Yves},
  year={1998}
}
We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood-Richardson multiplicities coincide with those previously introduced in [21] in terms of ribbon tableaux. 
Highly Cited
This paper has 40 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 30 references

On some geometric aspects of Bruhat orderings II. The parabolic analogue of Kazhdan- Lusztig polynomials

V. V. Deodhar
J. Algebra, • 1987
View 10 Excerpts
Highly Influenced

Modular representations of symmetric groups

D. E. Littlewood
Proc. Roy. Soc • 1951
View 14 Excerpts
Highly Influenced

Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln, Represent

W. Soergel
(english • 1997
View 6 Excerpts
Highly Influenced

Thibon, Ribbon tableaux, Hall-Littlewood functions, quantum affine algebras, and unipotent varieties

A. Lascoux, B. Leclerc, J.-Y
J. Math. Phys • 1997
View 10 Excerpts
Highly Influenced

Duality in parabolic set up for questions in Kazhdan-Lusztig theory

V. V. Deodhar
J. Algebra, • 1991
View 8 Excerpts
Highly Influenced

Modular representations and quantum groups

G. Lusztig
Contemp. Math • 1989
View 5 Excerpts
Highly Influenced

Singularities, character formulas, and a q-analog of weight multiplicities, Analyse et topologie sur les espaces singuliers (II-III), Astérisque

G. Lusztig
1983
View 4 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…