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Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials 麦克唐纳多项式和拟对称麦克唐纳多项式的紧致公式
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2022-01-05 DOI: 10.1007/s00029-021-00721-7
S. Corteel, J. Haglund, Olya Mandelshtam, S. Mason, L. Williams
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引用次数: 17
Generalized negligible morphisms and their tensor ideals 广义可忽略态射及其张量理想
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2022-01-04 DOI: 10.1007/s00029-021-00749-9
T. Heidersdorf, H. Wenzl
{"title":"Generalized negligible morphisms and their tensor ideals","authors":"T. Heidersdorf, H. Wenzl","doi":"10.1007/s00029-021-00749-9","DOIUrl":"https://doi.org/10.1007/s00029-021-00749-9","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2022-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75504225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras 颤振Hecke和Cherednik代数酉模的BGG分解
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2022-01-04 DOI: 10.1007/s00029-021-00739-x
C. Bowman, E. Norton, J. Simental
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引用次数: 2
Deformations of symplectic singularities and orbit method for semisimple Lie algebras 半单李代数的辛奇异变形与轨道法
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2022-01-04 DOI: 10.1007/s00029-021-00754-y
I. Losev
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引用次数: 35
Matroid psi classes. Matroid psi等级。
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2022-01-01 Epub Date: 2022-04-01 DOI: 10.1007/s00029-022-00771-5
Jeshu Dastidar, Dustin Ross

Motivated by the intersection theory of moduli spaces of curves, we introduce psi classes in matroid Chow rings and prove a number of properties that naturally generalize properties of psi classes in Chow rings of Losev-Manin spaces. We use these properties of matroid psi classes to give new proofs of (1) a Chow-theoretic interpretation for the coefficients of the reduced characteristic polynomials of matroids, (2) explicit formulas for the volume polynomials of matroids, and (3) Poincaré duality for matroid Chow rings.

受曲线模空间交理论的启发，我们在拟阵Chow环中引入了psi类，并证明了一些性质，这些性质自然地推广了Losev-Manin空间Chow环的psi类的性质。我们利用拟阵psi类的这些性质，给出了（1）拟阵的约化特征多项式系数的Chow理论解释，（2）拟阵体积多项式的显式公式，以及（3）拟阵Chow环的Poincaré对偶的新证明。
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引用次数: 8
An expansion formula for quantum cluster algebras from unpunctured triangulated surfaces 未刺穿三角曲面上量子簇代数的展开公式
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2021-12-30 DOI: 10.1007/s00029-021-00750-2
Min-xin Huang
{"title":"An expansion formula for quantum cluster algebras from unpunctured triangulated surfaces","authors":"Min-xin Huang","doi":"10.1007/s00029-021-00750-2","DOIUrl":"https://doi.org/10.1007/s00029-021-00750-2","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88491709","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the K-theory of regular coconnective rings 关于正则协环的k理论
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2021-12-29 DOI: 10.1007/s00029-023-00833-2
Robert Burklund, Ishan Levy
{"title":"On the K-theory of regular coconnective rings","authors":"Robert Burklund, Ishan Levy","doi":"10.1007/s00029-023-00833-2","DOIUrl":"https://doi.org/10.1007/s00029-023-00833-2","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76670882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A vanishing conjecture: the $${{text {GL}}}_n$$ case 一个正在消失的猜想:$${{text {GL}}}_n$$案例
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2021-12-04 DOI: 10.1007/s00029-021-00726-2
Tsao-Hsien Chen
{"title":"A vanishing conjecture: the $${{text {GL}}}_n$$ case","authors":"Tsao-Hsien Chen","doi":"10.1007/s00029-021-00726-2","DOIUrl":"https://doi.org/10.1007/s00029-021-00726-2","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79791995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Measures of association between algebraic varieties 代数变量之间关联的度量
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2021-12-01 DOI: 10.1007/s00029-023-00849-8
R. Lazarsfeld, Olivier Martin
{"title":"Measures of association between algebraic varieties","authors":"R. Lazarsfeld, Olivier Martin","doi":"10.1007/s00029-023-00849-8","DOIUrl":"https://doi.org/10.1007/s00029-023-00849-8","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73328191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Hecke symmetries: an overview of Frobenius properties Hecke对称性:Frobenius性质概述
IF 1.4 2区 数学 Q2 Mathematics
Selecta Mathematica-New Series
Pub Date : 2021-11-28 DOI: 10.1007/s00029-023-00843-0
S. Skryabin
{"title":"Hecke symmetries: an overview of Frobenius properties","authors":"S. Skryabin","doi":"10.1007/s00029-023-00843-0","DOIUrl":"https://doi.org/10.1007/s00029-023-00843-0","url":null,"abstract":"","PeriodicalId":49551,"journal":{"name":"Selecta Mathematica-New Series","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2021-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85914210","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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