BRAUER'S GENERALIZED DECOMPOSITION NUMBERS AND UNIVERSAL DEFORMATION RINGS

被引：0

作者：

Bleher, Frauke M. ^{[1
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 12期

关键词：

Universal deformation rings; Brauer's generalized decomposition numbers; tame blocks; dihedral defect groups; semidihedral defect groups; generalized quaternion defect groups; ENDO-TRIVIAL MODULES; DEFECT-GROUPS; FINITE GROUPS; COMPLETE-INTERSECTIONS; BLOCKS; ALGEBRAS; CLASSIFICATION; CHARACTERS; QUATERNION; NEED;

D O I：

10.1090/S0002-9947-2014-06120-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The versal deformation ring R(G, V) of a mod p representation V of a profinite group G encodes all isomorphism classes of lifts of V to representations of G over complete local commutative Noetherian rings. We introduce a new technique for determining R(G, V) when G is finite which involves Brauer's generalized decomposition numbers.

引用

页码：6507 / 6540

页数：34

共 36 条

[1]

Alperin J. L., 1986, LOCAL REPRESENTATION, V11

[2] Universal deformation rings need not be complete intersections [J].