Geodesic
Special modules over positively based algebras
Documenta mathematica, Tome 21 (2016), pp. 1171-1192
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We use the Perron-Frobenius Theorem to define, study and, in some sense, classify special simple modules over arbitrary finite dimensional positively based algebras. For group algebras of finite Weyl groups with respect to the Kazhdan-Lusztig basis, this agrees with Lusztig's notion of a special module introduced in [Lu1].
DOI : 10.4171/dm/555
Classification : 16G10, 16W99, 20C08
Mots-clés : algebra, positive basis, idempotent, cell, cell representation, special representation 
@article{10_4171_dm_555,
     author = {Tobias Kildetoft and Volodymyr Mazorchuk},
     title = {Special modules over positively based algebras},
     journal = {Documenta mathematica},
     pages = {1171--1192},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/555},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/555/}
}
TY  - JOUR
AU  - Tobias Kildetoft
AU  - Volodymyr Mazorchuk
TI  - Special modules over positively based algebras
JO  - Documenta mathematica
PY  - 2016
SP  - 1171
EP  - 1192
VL  - 21
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/555/
DO  - 10.4171/dm/555
ID  - 10_4171_dm_555
ER  - 
%0 Journal Article
%A Tobias Kildetoft
%A Volodymyr Mazorchuk
%T Special modules over positively based algebras
%J Documenta mathematica
%D 2016
%P 1171-1192
%V 21
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/555/
%R 10.4171/dm/555
%F 10_4171_dm_555
Tobias Kildetoft; Volodymyr Mazorchuk. Special modules over positively based algebras. Documenta mathematica, Tome 21 (2016), pp. 1171-1192. doi: 10.4171/dm/555

Cité par Sources :