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dc.contributor.author최희선-
dc.creator최희선-
dc.date.accessioned2016-08-26T02:08:17Z-
dc.date.available2016-08-26T02:08:17Z-
dc.date.issued1999-
dc.identifier.otherOAK-000000001613-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/192999-
dc.identifier.urihttp://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000001613-
dc.description.abstract이 논문에서 우리는 가환체에 대한 4원수 대수들과 a graded algebra를 공부하고 quaternion algebras이 Brauer 군에서 위수가 2인 원소와 대응함을 증명한다. 우리는 1차와 마찬가지로 n차에 대응하는 Clifford algebras의 구조를 결정함으로써 정규 이차 공간의 Clifford algebra와 Brauer 군의 원소를 연관시킬 수 있다. 우리는 1장의 결과를 타원곡선들의 자기준동형환에 적용하여 [3]의 몇 연습 문제들을 증명할 수 있다. ; In this thesis, we study quaternion algebras and a graded algebra over K where K is a commutative field. And prove that quarternion algebras over K correspond exactly to elements of order 2 in Br(K). We determine the structure of Clifford algebras corresponding to a 1-dimensional form as well as n-dimensional forms. Therefore one can associate with the Clifford algebra of a regular quadratic space an element of the Brauer group. We apply the results of Chapter 1 to the ring of endomorphisms of elliptic curves. Therefore we shall prove some exercise problems in [3].-
dc.description.tableofcontentsABSTRACT = 1 0. Introduction = 2 1. Quaternion algebras = 4 2. The Clifford algebra of quadratic forms 2-1. A graded algebra = 8 2-2. The Clifford algebra of char(K) ≠ 2 = 9 2-3. The Clifford algebra of char(K) = 2 = 11 3. The applications to the ring of endomorphisms of elliptic curves = 14 REFERENCES = 18 논문초록 = 19-
dc.formatapplication/pdf-
dc.format.extent610769 bytes-
dc.languageeng-
dc.publisher이화여자대학교 대학원-
dc.titleQuaternion algebras and clifford algebras-
dc.typeMaster's Thesis-
dc.identifier.thesisdegreeMaster-
dc.identifier.major대학원 수학과-
dc.date.awarded1999. 2-
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