Acta Mathematica Hungarica
Volume/Issue:
Volume 127: Issue 3
The structure theorem of endomorphism algebras for weak Doi-Hopf modules
Authors:
R. Niu Nanjing Agricultural University College of Science Nanjing 210095 P.R. China

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,
Y. Wang Nanjing Agricultural University College of Science Nanjing 210095 P.R. China

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, and
L. Zhang Nanjing Agricultural University College of Science Nanjing 210095 P.R. China

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Pages:
273–290
Online Publication Date:
19 Mar 2010
Publication Date:
01 May 2010
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-010-9134-6
Keywords:
weak Galois extension; endomorphism algebra; weak Doi-Hopf module; structure theorem; 16W30
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Abstract  

The paper is concerned with endomorphism algebras for weak Doi-Hopf modules. Under the condition “weak Hopf-Galois extensions”, we present the structure theorem of endomorphism algebras for weak Doi-Hopf modules, which extends Theorem 3.2 given by Schneider in [1]. As applications of the structure theorem, we obtain the Kreimer-Takeuchi theorem (see Theorem 1.7 in [2]) and the Nikshych duality theorem (see Theorem 3.3 in [3]) in the case of weak Hopf algebras, respectively.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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