Irreducible representations of Hopf algebras over dihedral groups

被引：0

作者：

Fantino, Fernando ^{[1
]}

Hidalgo, Juan ^{[1
]}

Mejia Castano, Adriana ^{[2
]}

Morschbacher, Carla ^{[3
]}

Rodrigues, Virginia ^{[4
]}

机构：

[1] Univ Nacl Cordoba FaMAF, Cordoba, Argentina

[2] Univ Norte, Dept Matemat & Estadist, Barranquilla, Colombia

[3] Inst Fed Catarinense IFC, Campus Camboriu, Camboriu, SC, Brazil

[4] Univ Fed Santa Catarina UFSC, Florianopolis, SC, Brazil

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 58卷 / 02期

关键词：

Irreducible representations; Pointed Hopf algebras; Dihedral groups; Jacobson radical;

D O I：

10.1007/s10801-022-01200-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We calculate all irreducible representations over a subfamily of pointed Hopf algebras with group-likes the dihedral group analyzing the possible decompositions of the restriction to the dihedral group and calculating the Jacobson radical of the Hopf algebra.

引用

页码：519 / 547

页数：29

共 50 条

[21] GROUP ALGEBRAS OF DIHEDRAL AND DICYCLIC GROUPS OVER MODULAR FIELDS
JEYAKUMAR, AV
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1970, 2 (06): : 297 - +
[22] Totally irreducible representations of algebras
Wawrzynczyk, Antoni
STUDIA MATHEMATICA, 2016, 235 (02) : 101 - 115
[23] REPRESENTATIONS OF FINITE DIMENSIONAL POINTED HOPF ALGEBRAS OVER ZN
Zhang, Ying
Chen, Hui-Xiang
COMMUNICATIONS IN ALGEBRA, 2012, 40 (10) : 3801 - 3821
[24] FORMAL GROUPS AND HOPF ALGEBRAS OVER DISCRETE RINGS
MORRIS, RA
PAREIGIS, B
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 197 : 113 - 129
[25] IRREDUCIBLE REPRESENTATIONS OF OPERATOR ALGEBRAS
SEGAL, IE
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (02) : 73 - 88
[26] IRREDUCIBLE REPRESENTATIONS OF ALTERNATIVE ALGEBRAS
SHESTAKOV, IP
MATHEMATICAL NOTES, 1979, 26 (5-6) : 829 - 835
[27] Irreducible representations of Leavitt algebras
Hazrat, Roozbeh
Preusser, Raimund
Shchegolev, Alexander
JOURNAL OF ALGEBRA, 2022, 612 : 147 - 207
[28] IRREDUCIBLE REPRESENTATIONS OF OPERATOR ALGEBRAS
SEGAL, IE
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (07) : 616 - 616
[29] IRREDUCIBLE REPRESENTATIONS OF BRAUER ALGEBRAS
PAN, F
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (11): : 3139 - 3156
[30] IRREDUCIBLE REPRESENTATIONS OF CLIFFORD ALGEBRAS
SCHRODER, UE
ACTA PHYSICA AUSTRIACA, 1971, 33 (3-4): : 328 - &

← 1 2 3 4 5 →