Hecke algebra characters and immanant conjectures
Journal of the American Mathematical Society, Tome 06 (1993) no. 3, pp. 569-595

Voir la notice de l'article provenant de la source American Mathematical Society

Haiman, Mark. Hecke algebra characters and immanant conjectures. Journal of the American Mathematical Society, Tome 06 (1993) no. 3, pp. 569-595. doi: 10.1090/S0894-0347-1993-1186961-9
@article{10_1090_S0894_0347_1993_1186961_9,
     author = {Haiman, Mark},
     title = {Hecke algebra characters and immanant conjectures},
     journal = {Journal of the American Mathematical Society},
     pages = {569--595},
     year = {1993},
     volume = {06},
     number = {3},
     doi = {10.1090/S0894-0347-1993-1186961-9},
     url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1993-1186961-9/}
}
TY  - JOUR
AU  - Haiman, Mark
TI  - Hecke algebra characters and immanant conjectures
JO  - Journal of the American Mathematical Society
PY  - 1993
SP  - 569
EP  - 595
VL  - 06
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1993-1186961-9/
DO  - 10.1090/S0894-0347-1993-1186961-9
ID  - 10_1090_S0894_0347_1993_1186961_9
ER  - 
%0 Journal Article
%A Haiman, Mark
%T Hecke algebra characters and immanant conjectures
%J Journal of the American Mathematical Society
%D 1993
%P 569-595
%V 06
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-1993-1186961-9/
%R 10.1090/S0894-0347-1993-1186961-9
%F 10_1090_S0894_0347_1993_1186961_9

[1] Barbasch, Dan, Vogan, David Primitive ideals and orbital integrals in complex exceptional groups J. Algebra 1983 350 382

[2] Beĭlinson, Alexandre, Bernstein, Joseph Localisation de 𝑔-modules C. R. Acad. Sci. Paris Sér. I Math. 1981 15 18

[3] Beĭlinson, A. A., Bernstein, J., Deligne, P. Faisceaux pervers 1982 5 171

[4] Bourbaki, N. Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines 1968

[5] Brenti, Francesco Unimodal polynomials arising from symmetric functions Proc. Amer. Math. Soc. 1990 1133 1141

[6] Brylinski, J.-L., Kashiwara, M. Kazhdan-Lusztig conjecture and holonomic systems Invent. Math. 1981 387 410

[7] Freyd, P., Yetter, D., Hoste, J., Lickorish, W. B. R., Millett, K., Ocneanu, A. A new polynomial invariant of knots and links Bull. Amer. Math. Soc. (N.S.) 1985 239 246

[8] Goresky, Mark, Macpherson, Robert Intersection homology. II Invent. Math. 1983 77 129

[9] Goulden, I. P., Jackson, D. M. Immanants of combinatorial matrices J. Algebra 1992 305 324

[10] Greene, Curtis Proof of a conjecture on immanants of the Jacobi-Trudi matrix Linear Algebra Appl. 1992 65 79

[11] Jacobson, Nathan Lie algebras 1962

[12] Jantzen, Jens Carsten Moduln mit einem höchsten Gewicht 1979

[13] Jimbo, Michio A 𝑞-analogue of 𝑈(𝔤𝔩(𝔑+1)), Hecke algebra, and the Yang-Baxter equation Lett. Math. Phys. 1986 247 252

[14] Jones, V. F. R. Hecke algebra representations of braid groups and link polynomials Ann. of Math. (2) 1987 335 388

[15] Jones, V. F. R. Index for subfactors Invent. Math. 1983 1 25

[16] Joseph, A. Towards the Jantzen conjecture. I, II Compositio Math. 1980

[17] Kazhdan, David, Lusztig, George Representations of Coxeter groups and Hecke algebras Invent. Math. 1979 165 184

[18] Kazhdan, David, Lusztig, George Schubert varieties and Poincaré duality 1980 185 203

[19] King, R. C., Wybourne, B. G. Characters of Hecke algebras 𝐻_{𝑛}(𝑞) of type 𝐴_{𝑛-1} J. Phys. A 1990

[20] Lascoux, Alain, Schützenberger, Marcel-Paul Schubert polynomials and the Littlewood-Richardson rule Lett. Math. Phys. 1985 111 124

[21] Lieb, Elliott H. Proofs of some conjectures on permanents J. Math. Mech. 1966 127 134

[22] Macdonald, I. G. Symmetric functions and Hall polynomials 1979

[23] Ram, Arun A Frobenius formula for the characters of the Hecke algebras Invent. Math. 1991 461 488

[24] Schur, I. Über endliche Gruppen und Hermitesche Formen Math. Z. 1918 184 207

[25] Schützenberger, M.-P. La correspondance de Robinson 1977 59 113

[26] Stanley, Richard P. Log-concave and unimodal sequences in algebra, combinatorics, and geometry 1989 500 535

[27] Stanley, Richard P., Stembridge, John R. On immanants of Jacobi-Trudi matrices and permutations with restricted position J. Combin. Theory Ser. A 1993 261 279

[28] Stembridge, J. R. Some conjectures for immanants Canad. J. Math. 1992 1079 1099

[29] Stembridge, John R. Eulerian numbers, tableaux, and the Betti numbers of a toric variety Discrete Math. 1992 307 320

[30] Stembridge, John R. Immanants of totally positive matrices are nonnegative Bull. London Math. Soc. 1991 422 428

[31] Van Der Jeugt, J. An algorithm for characters of Hecke algebras 𝐻_{𝑛}(𝑞) of type 𝐴_{𝑛-1} J. Phys. A 1991 3719 3725

[32] Wenzl, Hans Hecke algebras of type 𝐴_{𝑛} and subfactors Invent. Math. 1988 349 383

Cité par Sources :