Projective reflection groups

被引：8
|
作者：
Caselli, Fabrizio [1 ]
机构：
[1] Univ Bologna, Dipartimento Matemat, I-40126 Bologna, Italy
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2011年 / 185卷 / 01期
关键词：
FINITE-GROUPS; DESCENT REPRESENTATIONS; WREATH-PRODUCTS; INVARIANTS; STATISTICS; RINGS;
D O I：
10.1007/s11856-011-0105-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the class of projective reflection groups which includes all complex reflection groups. We show that several aspects involving the combinatorics and the representation theory of all non-exceptional irreducible complex reflection groups find a natural description in this wider setting.
引用
收藏
页码：155 / 187
页数：33
相关论文
共 50 条
  • [1] Projective reflection groups
    Fabrizio Caselli
    [J]. Israel Journal of Mathematics, 2011, 185 : 155 - 187
  • [2] PROJECTIVE REPRESENTATIONS OF REFLECTION GROUPS
    MORRIS, AO
    [J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1976, 32 (MAY) : 403 - 420
  • [3] Weighted enumerations on projective reflection groups
    Biagioli, Riccardo
    Caselli, Fabrizio
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2012, 48 (01) : 249 - 268
  • [4] Generalized Involution Models of Projective Reflection Groups
    Caselli, Fabrizio
    Marberg, Eric
    [J]. COMBINATORIAL METHODS IN TOPOLOGY AND ALGEBRA, 2015, 12 : 19 - 23
  • [5] Projective representations of finite reflection groups. III
    Morris, AO
    [J]. COMMUNICATIONS IN ALGEBRA, 2004, 32 (07) : 2679 - 2694
  • [6] The definability criteria for convex projective polyhedral reflection groups
    Kanghyun Choi
    Suhyoung Choi
    [J]. Geometriae Dedicata, 2015, 175 : 323 - 346
  • [7] The definability criteria for convex projective polyhedral reflection groups
    Choi, Kanghyun
    Choi, Suhyoung
    [J]. GEOMETRIAE DEDICATA, 2015, 175 (01) : 323 - 346
  • [8] Isomorphisms, automorphisms, and generalized involution models of projective reflection groups
    Fabrizio Caselli
    Eric Marberg
    [J]. Israel Journal of Mathematics, 2014, 199 : 433 - 483
  • [9] Isomorphisms, automorphisms, and generalized involution models of projective reflection groups
    Caselli, Fabrizio
    Marberg, Eric
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2014, 199 (01) : 433 - 483
  • [10] TOWARDS PROJECTIVE REPRESENTATIONS AND SPIN CHARACTERS OF FINITE AND INFINITE COMPLEX REFLECTION GROUPS
    Hirai, Takeshi
    Hirai, Etsuko
    Hora, Akihito
    [J]. INFINITE DIMENSIONAL HARMONIC ANALYSIS IV: ON THE INTERPLAY BETWEEN REPRESENTATION THEORY, RANDOM MATRICES, SPECIAL FUNCTIONS, AND PROBABILITY, 2009, : 112 - +
12345