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Two Topics on Quantizations of Quiver Varieties
Two Topics on Quantizations of Quiver Varieties
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211150949
- ISBN
- 9798383566183
- DDC
- 510
- 저자명
- Wu, Yaochen.
- 서명/저자
- Two Topics on Quantizations of Quiver Varieties
- 발행사항
- [Sl] : Yale University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 141 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 86-02, Section: B.
- 주기사항
- Advisor: Loseu, Ivan.
- 학위논문주기
- Thesis (Ph.D.)--Yale University, 2024.
- 초록/해제
- 요약This dissertation is devoted to the study of two topics on quantizations of quiver varieties, combining the works of the author during his PhD. The first topic concerns graded Poisson deformations of quiver varieties. We provide algorithms to compute the Namikawa-Weyl group of the affinization of a smooth Nakajima quiver variety from the quiver combinatorial data. This extends a result of [MN19] for quiver varieties associated to Dynkin quivers. The second topic concerns the classification of Harish-Chandra bimodules over the quantizations of flower quiver varieties, i.e. the quiver with one vertex and ≥ 2 edge-loops. We show that if the dimension vector is n, then there are n! minimally supported simple Harish-Chandra bimodules for integral quantization parameters that are large enough or small enough, and there are none for other quantization parameters. The main tool used for this classification is an enhanced version of the restriction functor introduced in [Los11] and [Los12a].
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Quantizations
- 키워드
- Quiver varieties
- 키워드
- Singularities
- 기타저자
- Yale University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 86-02B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■020 ▼a9798383566183
■035 ▼a(MiAaPQ)AAI30992935
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aWu, Yaochen.
■24510▼aTwo Topics on Quantizations of Quiver Varieties
■260 ▼a[Sl]▼bYale University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a141 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 86-02, Section: B.
■500 ▼aAdvisor: Loseu, Ivan.
■5021 ▼aThesis (Ph.D.)--Yale University, 2024.
■520 ▼aThis dissertation is devoted to the study of two topics on quantizations of quiver varieties, combining the works of the author during his PhD. The first topic concerns graded Poisson deformations of quiver varieties. We provide algorithms to compute the Namikawa-Weyl group of the affinization of a smooth Nakajima quiver variety from the quiver combinatorial data. This extends a result of [MN19] for quiver varieties associated to Dynkin quivers. The second topic concerns the classification of Harish-Chandra bimodules over the quantizations of flower quiver varieties, i.e. the quiver with one vertex and ≥ 2 edge-loops. We show that if the dimension vector is n, then there are n! minimally supported simple Harish-Chandra bimodules for integral quantization parameters that are large enough or small enough, and there are none for other quantization parameters. The main tool used for this classification is an enhanced version of the restriction functor introduced in [Los11] and [Los12a].
■590 ▼aSchool code: 0265.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aQuantizations
■653 ▼aQuiver varieties
■653 ▼aPoisson deformations
■653 ▼aTautological line bundles
■653 ▼aSingularities
■690 ▼a0405
■690 ▼a0642
■71020▼aYale University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g86-02B.
■790 ▼a0265
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160283▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
