Weak metric scheme and Power moments identities for weak metric abelian scheme
- 발행기관 서강대학교 수학과 대학원
- 지도교수 김대산
- 발행년도 2009
- 학위수여년월 2010. 2
- 학위명 박사
- 학과 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000045770
- 본문언어 한국어
- 저작권 서강대학교의 논문은 저작권에 의해 보호받습니다
초록/요약
Weak metric and weak cometric schemes were introduced as a generalization of metric and cometric schemes. They are given as the wreath product of a finite number of symmetric association schemes satisfying certain equivalent conditions which are analogous to the ones for metric or cometric schemes. It was known that power moments identities is obtained from a path matrix and a Vandermonde matrix determined by a given metric Abelian scheme. In this paper, we characterize those schemes and determine some of their parameters. Also, we determine a weak path matrix and a weak Vandermonde matrix from a weak metric Abelian scheme and then obtain a power moment identities by using them.
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