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Bernstein–Zelevinsky classification

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86: 67: 95: 222: 53: 41: 45: 173:"Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n)" 194: 152: 110: 80: 29: 184: 142: 25: 206: 164: 122: 103:
Akademiya Nauk SSSR I Moskovskoe Matematicheskoe Obshchestvo. Uspekhi Matematicheskikh Nauk
202: 160: 118: 172: 130: 216: 96:"Representations of the group GL(n,F), where F is a local non-Archimedean field" 75:, Lectures by Joseph Bernstein. Written by Karl E. Rumelhart, Harvard University 49: 17: 198: 156: 114: 189: 147: 131:"Induced representations of reductive p-adic groups. I" 177:
Annales Scientifiques de l'École Normale Supérieure
135:
Annales Scientifiques de l'École Normale Supérieure
33: 105:, Translation in Russian mathematical Surveys, 94:Bernšteĭn, I. N.; Zelevinskiĭ, A. V. (1976), 8: 129:Bernstein, I. N.; Zelevinsky, A. V. (1977), 85:: CS1 maint: location missing publisher ( 37: 188: 146: 78: 40:, classifies the irreducible complex 7: 22:Bernstein–Zelevinsky classification 14: 69:Representations of p-adic groups 1: 239: 171:Zelevinsky, A. V. (1980), 54:cuspidal representations 66:Bernstein, J. (1992), 42:smooth representations 223:Representation theory 46:general linear group 190:10.24033/asens.1379 148:10.24033/asens.1333 38:Zelevinsky (1980) 230: 209: 192: 167: 150: 125: 100: 90: 84: 76: 74: 24:, introduced by 238: 237: 233: 232: 231: 229: 228: 227: 213: 212: 170: 128: 98: 93: 77: 72: 65: 62: 12: 11: 5: 236: 234: 226: 225: 215: 214: 211: 210: 183:(2): 165–210, 168: 141:(4): 441–472, 126: 91: 61: 58: 13: 10: 9: 6: 4: 3: 2: 235: 224: 221: 220: 218: 208: 204: 200: 196: 191: 186: 182: 178: 174: 169: 166: 162: 158: 154: 149: 144: 140: 136: 132: 127: 124: 120: 116: 112: 108: 104: 97: 92: 88: 82: 71: 70: 64: 63: 59: 57: 55: 51: 47: 43: 39: 35: 31: 28: and 27: 23: 19: 180: 176: 138: 134: 106: 102: 68: 52:in terms of 21: 15: 179:, Série 4, 137:, Série 4, 109:(3): 5–70, 50:local field 18:mathematics 60:References 30:Zelevinsky 199:0012-9593 157:0012-9593 115:0042-1316 26:Bernstein 217:Category 81:citation 207:0584084 165:0579172 123:0425030 48:over a 32: ( 205:  197:  163:  155:  121:  113:  36:) and 20:, the 99:(PDF) 73:(PDF) 44:of a 195:ISSN 153:ISSN 111:ISSN 87:link 34:1977 185:doi 143:doi 16:In 219:: 203:MR 201:, 193:, 181:13 175:, 161:MR 159:, 151:, 139:10 133:, 119:MR 117:, 107:31 101:, 83:}} 79:{{ 56:. 187:: 145:: 89:)

Index

mathematics
Bernstein
Zelevinsky
1977
Zelevinsky (1980)
smooth representations
general linear group
local field
cuspidal representations
Representations of p-adic groups
citation
link
"Representations of the group GL(n,F), where F is a local non-Archimedean field"
ISSN
0042-1316
MR
0425030
"Induced representations of reductive p-adic groups. I"
doi
10.24033/asens.1333
ISSN
0012-9593
MR
0579172
"Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n)"
doi
10.24033/asens.1379
ISSN
0012-9593
MR

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