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319:"Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Premier Mémoire: Sur quelques propriétés des formes quadratiques positives parfaites"
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207:
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254:
125:
Proceedings of the Royal
Society of London. Series A: Mathematical, Physical and Engineering Sciences
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148:
116:
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Conway, J. H.; Sloane, N. J. A. (1989), "Errata: Low-Dimensional
Lattices. III. Perfect Forms",
90:. "Eutactic" is derived from the Greek language, and means "well-situated" or "well-arranged".
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288:, Grundlehren der Mathematischen Wissenschaften , vol. 327, Berlin, New York:
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summarize the properties of eutactic lattices of dimension up to 7.
96:
proved that a lattice is extreme if and only if it is both
123:(1988), "Low-dimensional lattices. III. Perfect forms",
324:Journal für die reine und angewandte Mathematik
81:) where the sum is over the minimal vectors
8:
103:
169:Proceedings of the Royal Society of London
220:
39:. This means they have a set of positive
93:
247:"Sur les formes quadratique positives"
7:
285:Perfect lattices in Euclidean spaces
245:Korkine, A.; Zolotareff, G. (1877),
14:
16:Set of points in Euclidean space
208:Canadian Journal of Mathematics
199:Coxeter, Harold Scott MacDonald
1:
35:whose minimal vectors form a
377:
282:Martinet, Jacques (2003),
104:Conway & Sloane (1988)
337:10.1515/crll.1908.133.97
222:10.4153/CJM-1951-045-8
181:10.1098/rspa.1989.0134
137:10.1098/rspa.1988.0073
255:Mathematische Annalen
41:eutactic coefficients
117:Conway, John Horton
268:10.1007/BF01442667
19:In mathematics, a
299:978-3-540-44236-3
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121:Sloane, N. J. A.
21:eutactic lattice
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361:Quadratic forms
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331:(133): 97–178,
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290:Springer-Verlag
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203:"Extreme forms"
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131:(1854): 43–80,
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59:) = Σ
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33:Euclidean space
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262:(2): 242–292,
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100:and eutactic.
94:Voronoi (1908)
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315:Voronoi, G.
215:: 391–441,
51:such that (
110:References
345:0075-4102
276:0025-5831
231:0008-414X
145:0962-8444
355:Category
317:(1908),
201:(1951),
308:1957723
239:0044580
189:2398351
161:0953277
153:2398316
98:perfect
72:,
55:,
29:lattice
27:) is a
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250:(PDF)
185:JSTOR
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227:ISSN
141:ISSN
23:(or
333:doi
329:133
264:doi
217:doi
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173:426
133:doi
129:418
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