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Combinatorics of Vexillary Grothendieck Polynomials
Combinatorics of Vexillary Grothendieck Polynomials
Detailed Information
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211151341
- ISBN
- 9798382843681
- DDC
- 510
- 서명/저자
- Combinatorics of Vexillary Grothendieck Polynomials
- 발행사항
- [Sl] : Cornell University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 89 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-12, Section: B.
- 주기사항
- Advisor: Meszaros, Karola.
- 학위논문주기
- Thesis (Ph.D.)--Cornell University, 2024.
- 초록/해제
- 요약First introduced by Lascoux and Schutzenberger in 1982, Grothendieck polynomials are a family of polynomials indexed by permutations in Sn. In this thesis, we study the supports of Grothendieck polynomials associated to vexillary (2143-avoiding) permutations. We use bumpless pipe dreams to show several nice properties of the supports of vexillary Grothendieck polynomials, addressing special cases of conjectures of Meszaros, Setiabrata, and St. Dizier. Additionally, through joint work with Meszaros, Setiabrata, and St. Dizier, we showthat the homogenized Grothendieck polynomial associated to any vexillary per-mutation is M-convex. To accomplish this, we introduce bubbling diagrams and show that they compute the supports of vexillary Grothendieck polynomials.
- 일반주제명
- Mathematics
- 일반주제명
- Theoretical mathematics
- 키워드
- Permutations
- 키워드
- Polytopes
- 기타저자
- Cornell University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-12B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211151341
■006m o d
■007cr#unu||||||||
■020 ▼a9798382843681
■035 ▼a(MiAaPQ)AAI31242232
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aHafner, Elena Sarah.▼0(orcid)0009-0004-4807-1710
■24510▼aCombinatorics of Vexillary Grothendieck Polynomials
■260 ▼a[Sl]▼bCornell University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a89 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-12, Section: B.
■500 ▼aAdvisor: Meszaros, Karola.
■5021 ▼aThesis (Ph.D.)--Cornell University, 2024.
■520 ▼aFirst introduced by Lascoux and Schutzenberger in 1982, Grothendieck polynomials are a family of polynomials indexed by permutations in Sn. In this thesis, we study the supports of Grothendieck polynomials associated to vexillary (2143-avoiding) permutations. We use bumpless pipe dreams to show several nice properties of the supports of vexillary Grothendieck polynomials, addressing special cases of conjectures of Meszaros, Setiabrata, and St. Dizier. Additionally, through joint work with Meszaros, Setiabrata, and St. Dizier, we showthat the homogenized Grothendieck polynomial associated to any vexillary per-mutation is M-convex. To accomplish this, we introduce bubbling diagrams and show that they compute the supports of vexillary Grothendieck polynomials.
■590 ▼aSchool code: 0058.
■650 4▼aMathematics
■650 4▼aTheoretical mathematics
■653 ▼aGrothendieck , Alexander
■653 ▼aVexillary Grothendieck polynomials
■653 ▼aPermutations
■653 ▼aPolytopes
■653 ▼aBumpless pipe dreams
■690 ▼a0405
■690 ▼a0642
■71020▼aCornell University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-12B.
■790 ▼a0058
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17161332▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
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