Premium
A Splitting Principle for Modular Group Representations
Author(s) -
Symonds Peter
Publication year - 2002
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001169
Subject(s) - modular representation theory , mathematics , modular design , pure mathematics , ring (chemistry) , mathematics subject classification , algebra over a field , group (periodic table) , representation (politics) , subject (documents) , representation theory , computer science , chemistry , organic chemistry , politics , library science , political science , law , operating system
The author of this paper has shown previously how a complex representation of a finite group can be split into a virtual sum of representations induced from one‐dimensional representations of subgroups in a natural way (sometimes known as explicit Brauer induction). Here the modular case is treated, yielding an analogous result at the level of Brauer characters in general, and in the Green ring for trivial source modules. 2000 Mathematics Subject Classification 20C20 (primary); 55M35, 14F20 (secondary).