| 释义 |
- References
{{technical|date=May 2016}}In mathematics, the Jacquet module J(V) of a linear representation V of a group N is the space of co-invariants of N; or in other words the largest quotient of V on which N acts trivially, or the zeroth homology group H0(N,V). The Jacquet functor J is the functor taking V to its Jacquet module J(V). Use of the phrase "Jacquet module" often implies that V is an admissible representation of a reductive algebraic group G over a local field, and N is the unipotent radical of a parabolic subgroup of G. In the case of p-adic groups they were studied by {{harvs|txt|authorlink=Hervé Jacquet| last=Jacquet|first=Hervé|year=1971}}. References- {{Citation | last1=Casselman | first1=William A. | authorlink1=Bill Casselman (mathematician)| editor1-last=Lehto | editor1-first=Olli | editor1-link= Olli Lehto | title=Proceedings of the International Congress of Mathematicians (Helsinki, 1978) | url=http://mathunion.org/ICM/ICM1978.2/ | publisher=Acad. Sci. Fennica | location=Helsinki | isbn=978-951-41-0352-0 | mr=562655 | year=1980 | chapter=Jacquet modules for real reductive groups | pages=557–563}}
- {{Citation | last1=Jacquet | first1=Hervé | authorlink1=Hervé Jacquet| editor1-last=Gherardelli | editor1-first=F. | title=Theory of group representations and Fourier analysis (Centro Internaz. Mat. Estivo (C.I.M.E.), II Ciclo, Montecatini Terme, 1970) | publisher=Edizioni cremonese | location=Rome | isbn=978-3-642-11011-5 | doi=10.1007/978-3-642-11012-2 | mr=0291360 | year=1971 | chapter=Représentations des groupes linéaires p-adiques | pages=119–220}}
1 : Representation theory |