Motzkin Combinatorics in Linear Degenerations of the Flag Variety

被引：0
|
作者：
Irelli, Giovanni Cerulli [1 ]
Esposito, Francesco [2 ]
Marietti, Mario [3 ]
机构：
[1] Sapienza Univ Roma, Dipartimento SBAI, Via Scarpa 10, I-00161 Rome, Italy
[2] Univ Studi Padova, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy
[3] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche, I-60131 Ancona, Italy
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 22期
关键词：
REPRESENTATIONS;
D O I：
10.1093/imrn/rnad063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish an explicit combinatorial/homological characterization of supports for linear degenerations of flag varieties. For such purpose, we introduce the concept of an excessive multisegment. It provides a new class of combinatorial objects counted by Motzkin numbers.
引用
收藏
页码：19184 / 19204
页数：21
相关论文
共 50 条
  • [1] Linear degenerations of flag varieties
    Irelli, G. Cerulli
    Fang, X.
    Feigin, E.
    Fourier, G.
    Reineke, M.
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 615 - 654
  • [2] COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS
    MARTINA LANINI
    ELISABETTA STRICKLAND
    [J]. Transformation Groups, 2019, 24 : 835 - 844
  • [3] Linear degenerations of flag varieties
    G. Cerulli Irelli
    X. Fang
    E. Feigin
    G. Fourier
    M. Reineke
    [J]. Mathematische Zeitschrift, 2017, 287 : 615 - 654
  • [4] COHOMOLOGY OF THE FLAG VARIETY UNDER PBW DEGENERATIONS
    Lanini, Martina
    Strickland, Elisabetta
    [J]. TRANSFORMATION GROUPS, 2019, 24 (03) : 835 - 844
  • [5] SUPPORTS FOR LINEAR DEGENERATIONS OF FLAG VARIETIES
    Fang, Xin
    Reineke, Markus
    [J]. DOCUMENTA MATHEMATICA, 2021, 26 : 1981 - 2003
  • [6] Combinatorics of Generalized Motzkin Numbers
    Wang, Yi
    Zhang, Zhi-Hai
    [J]. JOURNAL OF INTEGER SEQUENCES, 2015, 18 (02)
  • [7] Combinatorics of generalized Dyck and Motzkin paths
    Gan, Li
    Ouvry, Stephane
    Polychronakos, Alexios P.
    [J]. PHYSICAL REVIEW E, 2022, 106 (04)
  • [8] Combinatorics of nondeterministic walks of the Dyck and Motzkin type
    de Panafieu, Elie
    Lamali, Mohamed Lamine
    Wallner, Michael
    [J]. 2019 PROCEEDINGS OF THE MEETING ON ANALYTIC ALGORITHMICS AND COMBINATORICS, ANALCO, 2019, : 1 - 12
  • [9] On toric degenerations of flag varieties
    Fang, Xin
    Fourier, Ghislain
    Littelmann, Peter
    [J]. REPRESENTATION THEORY - CURRENT TRENDS AND PERSPECTIVES, 2017, : 187 - +
  • [10] Linear degenerations of flag varieties: partial flags, defining equations, and group actions
    Giovanni Cerulli Irelli
    Xin Fang
    Evgeny Feigin
    Ghislain Fourier
    Markus Reineke
    [J]. Mathematische Zeitschrift, 2020, 296 : 453 - 477
12345