| 释义 |
- References
In mathematics, the Bernstein–Zelevinsky classification, introduced by {{harvs|txt|author1-link=Joseph Bernstein|last=Bernstein|last2=Zelevinsky|author2-link=Andrei Zelevinsky|year=1977}} and {{harvtxt|Zelevinsky|1980}}, classifies the irreducible complex smooth representations of a general linear group over a local field in terms of cuspidal representations. References- {{citation|first=J.|last= Bernstein
|title=Representations of p-adic groups
|series=Lectures by Joseph Bernstein. Written by Karl E. Rumelhart
|place=Harvard University|year= 1992|url=http://www.math.tau.ac.il/~bernstei/Publication_list/publication_texts/Bernst_Lecture_p-adic_repr.pdf}}- {{Citation | last1=Bernšteĭn | first1=I. N. | last2=Zelevinskiĭ | first2=A. V. | title=Representations of the group GL(n,F), where F is a local non-Archimedean field | url=http://www.math.tau.ac.il/~bernstei/Publication_list/publication_texts/B-Zel-RepsGL-Usp.pdf | series=Translation in Russian mathematical Surveys | mr=0425030 | year=1976 | journal=Akademiya Nauk SSSR i Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk | issn=0042-1316 | volume=31 | issue=3 | pages=5–70}}
- {{Citation | last1=Bernstein | first1=I. N. | last2=Zelevinsky | first2=A. V. | title=Induced representations of reductive p-adic groups. I | url=http://www.numdam.org/item?id=ASENS_1977_4_10_4_441_0 | mr=0579172 | year=1977 | journal=Annales Scientifiques de l'École Normale Supérieure |series=Série 4 | issn=0012-9593 | volume=10 | issue=4 | pages=441–472}}
- {{Citation | last1=Zelevinsky | first1=A. V. | title=Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n) | url=http://www.numdam.org/item?id=ASENS_1980_4_13_2_165_0 | mr=584084 | year=1980 | journal=Annales Scientifiques de l'École Normale Supérieure |series=Série 4 | issn=0012-9593 | volume=13 | issue=2 | pages=165–210}}
{{DEFAULTSORT:Bernstein-Zelevinsky classification}} 1 : Representation theory |