Group partition and systems of orthogonal idempotents
β Scribed by Yingshan Zhang; Shanqi Pang; Zhengming Jiao; Wenzheng Zhao
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 599 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
β¦ Synopsis
Orthogonal systems of idempotents are applicable to Physics, Chemistry and other areas of Mathematics. Given a finite group G, and a set partition {[HI], [Hz], [Ok]} of G, we present a method that is sometimes successful in constructing a system of orthogonal idempotents that are constant on { [01], [&I., , [Ok]}. The functions are an extension of the irreducible character of finite group.
π SIMILAR VOLUMES
The projective orthogonal and symplectic groups PO n (F ) and PSp n (F ) have a natural action on the F vector space Here we assume F is an infinite field of characteristic not 2. If we assume there is more than one summand in V , then the invariant fields F (V ) PO n and F (V ) PSp n are natural o