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Unitary Spaces on Clifford Algebras
被引：0
作者：
N. G. Marchuk
D. S. Shirokov
机构：
[1] Steklov Mathematical Institute,
[2] Moscow State University,undefined
来源：
Advances in Applied Clifford Algebras
|
2008年
/
18卷
关键词：
Primary 15A66;
Clifford algebra;
unitary space;
commutator;
Hermitian idempotents;
matrix representations;
D O I：
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中图分类号：
学科分类号：
摘要：
For the complex Clifford algebra [inline-graphic not available: see fulltext](p, q) of dimension n = p + q we define a Hermitian scalar product. This scalar product depends on the signature (p, q) of Clifford algebra. So, we arrive at unitary spaces on Clifford algebras. With the aid of Hermitian idempotents we suggest a new construction of, so called, normal matrix representations of Clifford algebra elements. These representations take into account the structure of unitary space on Clifford algebra.
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页码：237 / 254
页数：17
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