Gosset’s figure in a Clifford algebra

被引：0
|
作者：
Richter D.A. [1 ]
机构：
[1] Department of Mathematics, Western Michigan University, 1903 W Michigan Ave, Kalamazoo, 49008-5248, MI
来源：
Advances in Applied Clifford Algebras | 2004年 / 14卷 / 2期
关键词：
Clifford Algebra; Popular Science; Quadratic Form; Semiregular Polytope; Vector Space;
D O I：
10.1007/s00006-004-0014-4
中图分类号：
学科分类号：
摘要：
This note describes a way to realize a “projective” version of Gosset’s 240-vertex semiregular polytope 421 using the Clifford algebra Cl(8) generated by an 8-dimensional vector space equipped with a non-degenerate quadratic form. The 120 vertices of this projective Gosset figure are also seen to coincide with a particular basis for the Lie algebra so(16). © 2004, Birkhäuser Verlag, Basel.
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页码：215 / 224
页数：9
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