GENERIC BASE ALGEBRAS AND UNIVERSAL COMODULE ALGEBRAS FOR SOME FINITE-DIMENSIONAL HOPF ALGEBRAS

被引：1

作者：

Iyer, Uma N. ^{[1
]}

Kassel, Christian ^{[2
,3
]}

机构：

[1] CUNY Bronx Community Coll, Dept Math & Comp Sci, Bronx, NY 10453 USA

[2] CNRS, Inst Rech Math Avancee, F-67084 Strasbourg, France

[3] Univ Strasbourg, F-67084 Strasbourg, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 12期

关键词：

Hopf algebra; comodule algebra; polynomial identity; EXTENSIONS; IDENTITIES;

D O I：

10.1090/tran/6287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

After recalling the definitions and the properties of the generic base algebra and of the universal comodule algebra attached to a Hopf algebra given by Aljadeff and the second-named author, we determine these algebras for the Taft algebras, the Hopf algebras E(n) and certain monomial Hopf algebras.

引用

页码：8465 / 8486

页数：22

共 13 条

[1] Polynomial identities and noncommutative versal torsors [J].

Aljadeff, Eli ;

Kassel, Christian .

ADVANCES IN MATHEMATICS, 2008, 218 (05) :1453-1495

[2] GRADED IDENTITIES OF MATRIX ALGEBRAS AND THE UNIVERSAL GRADED ALGEBRA [J].

Aljadeff, Eli ;

Haile, Darrell ;

Natapov, Michael .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 362 (06) :3125-3147

[3]

[Anonymous], CBMS REGIONAL C SERI

[4] Constructing pointed Hopf algebras by ore extensions [J].

Beattie, M ;

Dascalescu, S ;

Grünenfelder, L .

JOURNAL OF ALGEBRA, 2000, 225 (02) :743-770

[5] Lazy cohomology: An analogue of the Schur multiplier for arbitrary Hopf algebras [J].

Bichon, J ;

Carnovale, G .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 204 (03) :627-665

[6] GALOIS AND BIGALOIS OBJECTS OVER MONOMIAL NON-SEMISIMPLE HOPF ALGEBRAS [J].

Bichon, Julien .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2006, 5 (05) :653-680

[7] Monomial Hopf algebras [J].

Chen, XW ;

Huang, HL ;

Ye, Y ;

Zhang, P .

JOURNAL OF ALGEBRA, 2004, 275 (01) :212-232

[8]

Kassel C, 2010, REV UNION MAT ARGENT, V51, P79

[9]

Kassel Christian, 2011, GENERIC HOPF GALOIS, VE41, P104, DOI 10.1007/978-3-8348-9831-9_6

[10] Quasitriangular structures for some pointed Hopf algebras of dimension 2n [J].

Panaite, F ;

Van Oystaeyen, F .

COMMUNICATIONS IN ALGEBRA, 1999, 27 (10) :4929-4942

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