ON THE FROBENIUS-PERRON EIGENVALUES OF CARTAN MATRICES FOR SOME FINITE GROUPS

被引:1
|
作者
Yoshii, Yutaka [1 ]
机构
[1] Nara Natl Coll Technol, Nara 6391080, Japan
关键词
Frobenius-Perron eigenvalue; Cartan matrix; principal block; finite groups of Lie type; abelian Sylow p-subgroup; DECOMPOSITION NUMBERS; INDECOMPOSABLE MODULES; PRINCIPAL; 3-BLOCKS; LINEAR-GROUPS; REPRESENTATIONS; GLN(Q);
D O I
10.1142/S0219498811005397
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study integrality of the Frobenius-Perron eigenvalues of the Cartan matrices for the principal blocks of some finite groups of Lie type with noncyclic abelian Sylow p-subgroups.
引用
收藏
页码:549 / 572
页数:24
相关论文
共 50 条
  • [41] Spectrum of the Frobenius-Perron operator for systems with stochastic perturbation
    Ostruszka, A
    Zyczkowski, K
    [J]. PHYSICS LETTERS A, 2001, 289 (06) : 306 - 312
  • [42] Iterations of the Frobenius-Perron operator for parabolic random maps
    Kowalski, Zbigniew S.
    [J]. FUNDAMENTA MATHEMATICAE, 2009, 202 (03) : 241 - 250
  • [43] Eigenvalue spectrum of the Frobenius-Perron operator near intermittency
    Kaufmann, Z
    Lustfeld, H
    Bene, J
    [J]. PHYSICAL REVIEW E, 1996, 53 (02) : 1416 - 1421
  • [44] Integral Modular Categories of Frobenius-Perron Dimension pqn
    Jingcheng Dong
    Henry Tucker
    [J]. Algebras and Representation Theory, 2016, 19 : 33 - 46
  • [45] HIGH-ORDER APPROXIMATION OF THE FROBENIUS-PERRON OPERATOR
    DING, J
    DU, Q
    LI, TY
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1993, 53 (2-3) : 151 - 171
  • [46] A New Approach to Solving the Inverse Frobenius-Perron Problem
    Nie, Xiaokai
    Coca, Daniel
    [J]. 2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 2916 - 2920
  • [47] Hypersonic State Estimation Using the Frobenius-Perron Operator
    Dutta, Parikshit
    Bhattacharya, Raktim
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2011, 34 (02) : 325 - 344
  • [48] SPECTRUM AND EIGENFUNCTIONS OF THE FROBENIUS-PERRON OPERATOR OF THE TENT MAP
    DORFLE, M
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1985, 40 (1-2) : 93 - 132
  • [49] Frobenius-Perron Theory of Representation-directed Algebras
    Chen, Jianmin
    Chen, Jiayi
    [J]. FRONTIERS OF MATHEMATICS, 2023, 18 (06): : 1379 - 1395
  • [50] Finite quantum groups and Cartan matrices
    Andruskiewitsch, N
    [J]. ADVANCES IN MATHEMATICS, 2000, 154 (01) : 1 - 45