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Group partition and systems of orthogonal idempotents

✍ 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

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✦ 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.


πŸ“œ SIMILAR VOLUMES


Invariant fields of symplectic and ortho
✍ David J. Saltman πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 271 KB

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