Clifford theory for cocentral extensions

被引：4

作者：

Burciu, Sebastian ^{[1
]}

机构：

[1] Acad Romana, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2011年 / 181卷 / 01期

关键词：

HOPF-ALGEBRAS; REPRESENTATIONS;

D O I：

10.1007/s11856-011-0005-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical Clifford correspondence for normal subgroups is considered in the setting of semisimple Hopf algebras. We prove that this correspondence still holds if the extension determined by the normal Hopf subalgebra is cocentral.

引用

页码：111 / 123

页数：13

共 12 条

[1] INDUCED AND PRODUCED REPRESENTATIONS OF LIE ALGEBRAS [J].

BLATTNER, RJ .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 144 (OCT) :457-&

[2]

BURCIU S, 2010, COMMUN ALGEBRA, V37, P3573

[3] Representations induced in an invariant subgroup [J].

Clifford, AH .

ANNALS OF MATHEMATICS, 1937, 38 :533-550

[4] GROUP-GRADED RINGS AND MODULES [J].

DADE, EC .

MATHEMATISCHE ZEITSCHRIFT, 1980, 174 (03) :241-262

[5] FINITE DIMENSIONAL COSEMISIMPLE HOPF-ALGEBRAS IN CHARACTERISTIC 0 ARE SEMISIMPLE [J].

LARSON, RG ;

RADFORD, DE .

JOURNAL OF ALGEBRA, 1988, 117 (02) :267-289

[6] CHARACTERS OF HOPF ALGEBRAS [J].

LARSON, RG .

JOURNAL OF ALGEBRA, 1971, 17 (03) :352-&

[7]

MASUOKA A, 1999, TRABAJOS MATEMATICA, V419, P1

[8]

MONTGOMERY S, 1997, REG C SER MATH AM MA, V82

[9] The Grothendieck group of a Hopf algebra [J].

Nichols, WD ;

Richmond, MB .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1996, 106 (03) :297-306

[10] REPRESENTATION-THEORY OF HOPF GALOIS EXTENSIONS [J].

SCHNEIDER, HJ .

ISRAEL JOURNAL OF MATHEMATICS, 1990, 72 (1-2) :196-231

← 1 2 →