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.

引用

页码：215 / 224

页数：9