Geodesic
A note on the representation theory of the Hecke algebra of type F4
Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 43-50

Voir la notice de l'article provenant de la source Cambridge University Press

In [4] Dipper and James investigated the representation theory of Hecke algebras of type Bn, H(Bn). Using the results in [4] and exploiting the fact that the Hecke algebra of type F4, denoted by H(W), contains two copies of H(B3) certain right ideals of H(W) will be constructed in this paper. These right ideals will be proved to be irreducible on the assumption that H(W) is semisimple. 
Pallikaros, C. A. A note on the representation theory of the Hecke algebra of type F4. Glasgow mathematical journal, Tome 39 (1997) no. 1, pp. 43-50. doi: 10.1017/S001708950003189X
@article{10_1017_S001708950003189X,
     author = {Pallikaros, C. A.},
     title = {A note on the representation theory of the {Hecke} algebra of type {F4}},
     journal = {Glasgow mathematical journal},
     pages = {43--50},
     year = {1997},
     volume = {39},
     number = {1},
     doi = {10.1017/S001708950003189X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950003189X/}
}
TY  - JOUR
AU  - Pallikaros, C. A.
TI  - A note on the representation theory of the Hecke algebra of type F4
JO  - Glasgow mathematical journal
PY  - 1997
SP  - 43
EP  - 50
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950003189X/
DO  - 10.1017/S001708950003189X
ID  - 10_1017_S001708950003189X
ER  - 
%0 Journal Article
%A Pallikaros, C. A.
%T A note on the representation theory of the Hecke algebra of type F4
%J Glasgow mathematical journal
%D 1997
%P 43-50
%V 39
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950003189X/
%R 10.1017/S001708950003189X
%F 10_1017_S001708950003189X

[1] 1.Carter, R. W., Finite groups of Lie type. Conjugacy classes and complex characters (Wiley, 1985). Google Scholar

[2] 2.Curtis, C. W. and Reiner, I., Methods of representation theory, vols I, II (Wiley, 1981/1987). Google Scholar

[3] 3.Dipper, R. and James, G., Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. (3) 52 (1986), 20–52. Google Scholar | DOI

[4] 4.Dipper, R. and James, G., Representations of Hecke algebras of type B, J. Algebra 146 (1992), 454–481. Google Scholar | DOI

[5] 5.Geek, M., On the character values of Iwahori-Hecke algebras of exceptional type, Proc. London Math. Soc. (3) 68 (1994), 51–76. Google Scholar | DOI

[6] 6.Pallikaros, C., Representations of Hecke algebras of type D, J. Algebra 169 (1994), 20–48. Google Scholar | DOI

Cité par Sources :