Knowledge (XXG)

E7½

Source 📝

227: 268: 118: 261: 95: 178: 292: 254: 68: 287: 187: 114: 146:
A.M. Cohen, R. de Man, "Computational evidence for Deligne's conjecture regarding exceptional
238: 58:
defined by Landsberg and Manivel in order to fill the "hole" in a dimension formula for the
197: 59: 52: 45: 211: 207: 103: 281: 226: 134: 35: 31: 202: 79:
has dimension 190, and is not simple: as a representation of its subalgebra E
147: 192: 234: 164:
P. Deligne, R. de Man, "La série exceptionnelle de groupes de Lie II",
72: 17: 172:
Landsberg, J. M.; Manivel, L. (2006), "The sextonions and E
157:
P. Deligne, "La série exceptionnelle de groupes de Lie",
242: 67:of simple Lie algebras. This hole was observed by 262: 8: 269: 255: 201: 191: 166:Comptes rendus de l'Académie des Sciences 159:Comptes rendus de l'Académie des Sciences 152:Comptes rendus de l'Académie des Sciences 102:. This representation has an invariant 7: 223: 221: 94:, where (56) is the 56-dimensional 241:. You can help Knowledge (XXG) by 106:, and this symplectic form equips 25: 117:; this Heisenberg algebra is the 225: 27:Subalgebra of E8 containing E7 1: 168:, Série I 323 (1996) 577–582. 161:, Série I 322 (1996) 321–326. 154:, Série I 322 (1996) 427–432. 309: 220: 96:irreducible representation 203:10.1016/j.aim.2005.02.001 113:with the structure of a 179:Advances in Mathematics 237:-related article is a 75:, Cohen and de Man. E 60:exceptional series E 44:is a subalgebra of 115:Heisenberg algebra 250: 249: 16:(Redirected from 300: 271: 264: 257: 229: 222: 214: 205: 195: 112: 93: 21: 308: 307: 303: 302: 301: 299: 298: 297: 278: 277: 276: 275: 218: 193:math.RT/0402157 175: 171: 143: 131: 124: 107: 104:symplectic form 101: 88: 84: 83:, it splits as 82: 78: 65: 56: 49: 42: 28: 23: 22: 15: 12: 11: 5: 306: 304: 296: 295: 290: 280: 279: 274: 273: 266: 259: 251: 248: 247: 230: 216: 215: 186:(1): 143–179, 173: 169: 162: 155: 142: 139: 138: 137: 130: 127: 122: 99: 86: 80: 76: 61: 54: 47: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 305: 294: 293:Algebra stubs 291: 289: 286: 285: 283: 272: 267: 265: 260: 258: 253: 252: 246: 244: 240: 236: 231: 228: 224: 219: 213: 209: 204: 199: 194: 189: 185: 181: 180: 170: 167: 163: 160: 156: 153: 149: 145: 144: 140: 136: 133: 132: 128: 126: 120: 116: 111: 105: 97: 92: 74: 70: 66: 64: 57: 50: 43: 37: 33: 19: 243:expanding it 232: 217: 183: 177: 165: 158: 151: 109: 90: 62: 38: 29: 135:Vogel plane 51:containing 36:Lie algebra 32:mathematics 288:Lie groups 282:Categories 148:Lie groups 141:References 119:nilradical 69:Cvitanovic 89:⊕ (56) ⊕ 129:See also 235:algebra 212:2204753 108:(56) ⊕ 73:Deligne 210:  34:, the 18:E7 1/2 233:This 188:arXiv 239:stub 121:in E 98:of E 198:doi 184:201 176:", 150:", 30:In 284:: 208:MR 206:, 196:, 182:, 174:7½ 125:. 123:7½ 77:7½ 71:, 41:7½ 270:e 263:t 256:v 245:. 200:: 190:: 110:R 100:7 91:R 87:7 85:E 81:7 63:n 55:7 53:E 48:8 46:E 39:E 20:)

Index

E7 1/2
mathematics
Lie algebra
E8
E7
exceptional series En
Cvitanovic
Deligne
irreducible representation
symplectic form
Heisenberg algebra
nilradical
Vogel plane
Lie groups
Advances in Mathematics
arXiv
math.RT/0402157
doi
10.1016/j.aim.2005.02.001
MR
2204753
Stub icon
algebra
stub
expanding it
v
t
e
Categories
Lie groups

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.