번스타인-셀레빈스키 분류

Bernstein–Zelevinsky classification

수학에서 번스타인젤레빈스키(1977년)와 젤레빈스키(1980년)가 도입한 번스타인과 젤레빈스키 분류는 지역적 영역에 걸친 일반 선형 집단의 불가해한 복합적인 원만한 표현중단적 표현으로 분류한다.

참조

  • Bernstein, J. (1992), Representations of p-adic groups (PDF), Lectures by Joseph Bernstein. Written by Karl E. Rumelhart, Harvard University
  • Bernšteĭn, I. N.; Zelevinskiĭ, A. V. (1976), "Representations of the group GL(n,F), where F is a local non-Archimedean field" (PDF), Akademiya Nauk SSSR I Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk, Translation in Russian mathematical Surveys, 31 (3): 5–70, ISSN 0042-1316, MR 0425030
  • Bernstein, I. N.; Zelevinsky, A. V. (1977), "Induced representations of reductive p-adic groups. I", Annales Scientifiques de l'École Normale Supérieure, Série 4, 10 (4): 441–472, doi:10.24033/asens.1333, ISSN 0012-9593, MR 0579172
  • Zelevinsky, A. V. (1980), "Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n)", Annales Scientifiques de l'École Normale Supérieure, Série 4, 13 (2): 165–210, doi:10.24033/asens.1379, ISSN 0012-9593, MR 0584084