Equivariant Hilbert series

被引：4
|
作者：
Himstedt, Frank [1 ]
Symonds, Peter [2 ]
机构：
[1] Tech Univ Munich, Zentrum Math M11, D-85748 Garching, Germany
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
ALGEBRA & NUMBER THEORY | 2009年 / 3卷 / 04期
关键词：
Hilbert series; group action; ring; degree; equivariant; MODULE STRUCTURE; P-GROUPS; COHOMOLOGY; AUTOMORPHISMS; RINGS;
D O I：
10.2140/ant.2009.3.423
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a finite group acting on a graded module and define an equivariant degree that generalizes the usual nonequivariant degree. The value of this degree is a module for the group, up to a rational multiple. We investigate how this behaves when the module is a ring and apply our results to reprove some results of Kuhn on the cohomology of groups.
引用
收藏
页码：423 / 443
页数：21
相关论文
共 50 条
  • [41] THE CARDINAL SERIES IN HILBERT SPACE
    WESTON, JD
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1949, 45 (03): : 335 - 341
  • [42] THE SMALLEST SINGULARITY OF A HILBERT SERIES
    ANICK, DJ
    MATHEMATICA SCANDINAVICA, 1982, 51 (01) : 35 - 44
  • [43] On the Hilbert Series of Koszul Algebras
    D. I. Piontkovski
    Functional Analysis and Its Applications, 2001, 35 : 133 - 137
  • [44] The Hilbert series of Pfaffian rings
    Ghorpade, SR
    Krattenthaler, C
    ALGEBRA, ARITHMETIC AND GEOMETRY WITH APPLICATIONS: PAPERS FROM SHREERAM S ABHYANKARS 70TH BIRTHDAY CONFERENCE, 2004, : 337 - 356
  • [45] Hilbert Series of Positive Braids
    Iqbal, Zaffar
    ALGEBRA COLLOQUIUM, 2011, 18 : 1017 - 1028
  • [46] The Hilbert series of the clique complex
    Ferrarello, D
    Fröberg, R
    GRAPHS AND COMBINATORICS, 2005, 21 (04) : 401 - 405
  • [47] Hilbert series for ALP EFTs
    Christophe Grojean
    Jonathan Kley
    Chang-Yuan Yao
    Journal of High Energy Physics, 2023
  • [48] Hilbert series for ALP EFTs
    Grojean, Christophe
    Kley, Jonathan
    Yao, Chang-Yuan
    JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (11)
  • [49] The Hilbert Series of the Clique Complex
    Daniela Ferrarello
    Ralf Fröberg
    Graphs and Combinatorics, 2005, 21 : 401 - 405
  • [50] SERIES CHARACTERIZATION OF HILBERT SPACE
    RUCKLE, WH
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (07): : A792 - A792
12345