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Pseudorepresentations Not Arising From Genuine Representations
Pseudorepresentations Not Arising From Genuine Representations
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103142
- ISBN
- 9798286451760
- DDC
- 510
- 저자명
- Luo, Jinyue.
- 서명/저자
- Pseudorepresentations Not Arising From Genuine Representations
- 발행사항
- [Sl] : The University of Chicago, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 39 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Calegari, Frank.
- 학위논문주기
- Thesis (Ph.D.)--The University of Chicago, 2025.
- 초록/해제
- 요약We show that a pseudorepresentation D: A[G] → A of a (finite) group G need not arise from a genuine representation, even if one is allowed to extend the ring A. This shows that a theorem of the "embedding problem" for residually multiplicity free pseudorepresentations [2, Proposition 1.3.13] can not be extended to the general setting. We focus particularly on the case where p = d = 2 with a trivial residual pseudorepresentation. The main idea is to explicitly compute the pseudodeformation ring and the trace subring of the framed deformation ring, demonstrating that these rings are different even for finite groups G.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 기타저자
- The University of Chicago Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798286451760
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■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aLuo, Jinyue.▼0(orcid)0000-000-7780-220X
■24510▼aPseudorepresentations Not Arising From Genuine Representations
■260 ▼a[Sl]▼bThe University of Chicago▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a39 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Calegari, Frank.
■5021 ▼aThesis (Ph.D.)--The University of Chicago, 2025.
■520 ▼aWe show that a pseudorepresentation D: A[G] → A of a (finite) group G need not arise from a genuine representation, even if one is allowed to extend the ring A. This shows that a theorem of the "embedding problem" for residually multiplicity free pseudorepresentations [2, Proposition 1.3.13] can not be extended to the general setting. We focus particularly on the case where p = d = 2 with a trivial residual pseudorepresentation. The main idea is to explicitly compute the pseudodeformation ring and the trace subring of the framed deformation ring, demonstrating that these rings are different even for finite groups G.
■590 ▼aSchool code: 0330.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aEmbedding problem
■653 ▼aGalois deformation ring
■653 ▼aPseudorepresentation
■653 ▼aPseudodeformation rings
■653 ▼aGenuine representations
■690 ▼a0405
■690 ▼a0642
■71020▼aThe University of Chicago▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0330
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357167▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
