| Author | dc.contributor.author | Aburto Hageman, Luisa | |
| Author | dc.contributor.author | Pantoja, José | es_CL |
| Author | dc.contributor.author | Soto Andrade, Jorge | es_CL |
| Admission date | dc.date.accessioned | 2010-05-12T16:06:32Z | |
| Available date | dc.date.available | 2010-05-12T16:06:32Z | |
| Publication date | dc.date.issued | 2009-01 | |
| Cita de ítem | dc.identifier.citation | arXiv:0901.0292v1 [math.RT] 2 Jan 2009 | en_US |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/119028 | |
| Abstract | dc.description.abstract | We describe the tensor products of two irreducible linear complex
representations of the group G = GL(3, F
q) in terms of induced representations
by linear characters of maximal torii and also in terms of classical and
generalized Gelfand-Graev representations. Our results include MacDonald’s
conjectures for G and at the same time they are extensions to G of finite
counterparts to classical results on tensor products of holomorphic and antiholomorphic
representations of the group SL(2, R). Moreover they provide
an easy way to decompose these tensor products, with the help of Frobenius
reciprocity. We also state some conjectures for the general case of GL(n, F
q). | en_US |
| Patrocinador | dc.description.sponsorship | The first and second authors were partially supported by Pontificia Universidad Cat´olica de Valpara
´ıso. The second and third authors were partially supported by FONDECYT Grants 1040444,
1070246 and by PICS CNRS 1413 | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Título | dc.title | TENSOR PRODUCTS OF IRREDUCIBLE REPRESENTATIONS OF THE GROUP GL(3, Fq) | en_US |
| Document type | dc.type | Artículo de revista | |
