On Hopf-Galois extensions of linear categories

被引：0

作者：

Stanescu, Anca ^{[1
]}

机构：

[1] Univ Bucharest, Dept Math, RO-010014 Bucharest, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 03期

关键词：

Linear categories; Hopf-Galois extensions; Crossed products; SMASH PRODUCTS; MORITA EQUIVALENCE; CROSSED-PRODUCTS; ALGEBRAS; RINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We continue the investigation of H-Galois extensions of linear categories, where H is a Hopf algebra. In our main result, the Theorem 2.2, we characterize this class of extensions in the case when H is finite dimensional. As an application, we prove a version of the Duality Theorem for crossed products with invertible cocycle.

引用

页码：111 / 130

页数：20

共 14 条

[1] SMASH PRODUCTS AND OUTER DERIVATIONS [J].

BERGEN, J ;

MONTGOMERY, S .

ISRAEL JOURNAL OF MATHEMATICS, 1986, 53 (03) :321-345

[2] CROSSED-PRODUCTS AND GALOIS EXTENSIONS OF HOPF-ALGEBRAS [J].

BLATTNER, RJ ;

MONTGOMERY, S .

PACIFIC JOURNAL OF MATHEMATICS, 1989, 137 (01) :37-54

[3]

Cibils C, 2006, DOC MATH, V11, P143

[4] GROUP-GRADED RINGS, SMASH PRODUCTS, AND GROUP-ACTIONS [J].

COHEN, M ;

MONTGOMERY, S .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 282 (01) :237-258

[5] HOPF GALOIS EXTENSIONS, SMASH PRODUCTS, AND MORITA EQUIVALENCE [J].

COHEN, M ;

FISCHMAN, D ;

MONTGOMERY, S .

JOURNAL OF ALGEBRA, 1990, 133 (02) :351-372

[6]

Dascalescu S., 2001, PURE APPL MATH, V235

[7] Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions [J].

Herscovich, Estanislao ;

Solotar, Andrea .

JOURNAL OF ALGEBRA, 2007, 315 (02) :852-873

[8] Hochschild-Mitchell cohomology and Galois extensions [J].

Herscovich, Estanislao ;

Solotar, Andrea .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 209 (01) :37-55

[9] HOPF-ALGEBRAS AND GALOIS EXTENSIONS OF AN ALGEBRA [J].

KREIMER, HF ;

TAKEUCHI, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (05) :675-692

[10] RINGS WITH SEVERAL OBJECTS [J].

MITCHELL, B .

ADVANCES IN MATHEMATICS, 1972, 8 (01) :1-&

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