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Rank and determinant of an even-order tensor : 짝수 차원 텐서의 계수와 행렬식
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 조영현 | - |
dc.contributor.author | 고한빈 | - |
dc.date.accessioned | 2017-07-19T09:00:48Z | - |
dc.date.available | 2017-07-19T09:00:48Z | - |
dc.date.issued | 2015-08 | - |
dc.identifier.other | 000000053307 | - |
dc.identifier.uri | https://hdl.handle.net/10371/131499 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. 조영현. | - |
dc.description.abstract | A supermatrix is a representation of a tensor with respect to a fixed basis. It can be seen a generalization of a matrix representation of a second order tensor. We define the determinant and the rank of an arbitrary even order supermatrix and show that the determinant is invariant under change of basis whose action is given by a special linear group (i.e., the determinant of the matrix representation of the basis change is 1). Moreover, we show that the rank is invariant under any change of basis. | - |
dc.description.tableofcontents | Abstract
1. Introduction 2. Preliminary 3. Determinant of M_2r^n(K) - Theorem 3.7 - Theorem 3.14 4. Rank of M_2r^n(F) - Theorem 4.5 - Theorem 4.10 References 국문초록 | - |
dc.format | application/pdf | - |
dc.format.extent | 3271666 bytes | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | Tensor | - |
dc.subject | Supermatrix | - |
dc.subject | Invariant | - |
dc.subject | Determinant | - |
dc.subject | Rank | - |
dc.subject.ddc | 510 | - |
dc.title | Rank and determinant of an even-order tensor | - |
dc.title.alternative | 짝수 차원 텐서의 계수와 행렬식 | - |
dc.type | Thesis | - |
dc.description.degree | Master | - |
dc.citation.pages | 29 | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2015-08 | - |
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