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
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2011年 / 10卷 / 03期
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
  • [1] Finite dimensional Frobenius-Perron algebras
    Xu, Yongjun
    Liu, Yikun
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [2] MARKOV FINITE APPROXIMATION OF FROBENIUS-PERRON OPERATOR
    JIU, D
    TIEN, YL
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (08) : 759 - 772
  • [3] Eigenvalues of Cartan matrices of blocks in finite groups
    Okuyama, Tetsuro
    Wada, Tomoyuki
    [J]. CHARACTER THEORY OF FINITE GROUPS, 2010, 524 : 127 - +
  • [4] Rationality of eigenvalues of Cartan matrices in finite groups
    Kiyota, M
    Murai, M
    Wada, T
    [J]. JOURNAL OF ALGEBRA, 2002, 249 (01) : 110 - 119
  • [5] ON FROBENIUS-PERRON DIMENSION
    LI, Changzheng
    Shifler, Ryan M.
    Yang, Mingzhi
    Zhang, Chi
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (12) : 5035 - 5045
  • [6] A finite element method for the Frobenius-Perron operator equation
    Ding, J
    Zhou, AH
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 102 (2-3) : 155 - 164
  • [7] Frobenius-Perron theory of endofunctors
    Chen, Jianmin
    Gao, Zhibin
    Wicks, Elizabeth
    Zhang, James J.
    Zhang, Xiaohong
    Zhu, Hong
    [J]. ALGEBRA & NUMBER THEORY, 2019, 13 (09) : 2005 - 2055
  • [8] On the spectrum of Frobenius-Perron operators
    Ding, J
    Zhou, A
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (02) : 610 - 620
  • [9] FINITE APPROXIMATION FOR FROBENIUS-PERRON OPERATOR - SOLUTION TO ULAMS CONJECTURE
    LI, TY
    [J]. JOURNAL OF APPROXIMATION THEORY, 1976, 17 (02) : 177 - 186
  • [10] WEIGHTED FROBENIUS-PERRON AND KOOPMAN OPERATORS
    Jabbarzadeh, M. R.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2009, 35 (02) : 85 - 96
12345