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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:
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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
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271:
264:
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195:
112:
93:
21:
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193:math.RT/0402157
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107:
104:symplectic form
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88:
84:
83:, it splits as
82:
78:
65:
56:
49:
42:
28:
23:
22:
15:
12:
11:
5:
306:
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186:(1): 143–179,
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127:
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99:
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80:
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61:
54:
47:
40:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
305:
294:
293:Algebra stubs
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243:expanding it
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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
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30:In
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208:MR
206:,
196:,
182:,
174:7½
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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
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53:E
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46:E
39:E
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