Crossed products for weak Hopf algebras

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URI: http://hdl.handle.net/10347/32469
ISSN: 0092-7872
E-ISSN: 1532-4125

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2009-06-24

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Taylor & Francis
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Abstract

Weak crossed products by a weak bialgebra are de ned. The resulting structure is not that of a unital algebra but an associative algebra with preunit. A general formula of such a product is given in terms of a weak 2-cocycle and a weak measuring. The relation with weak cleft extensions is studied. Equivalences of weak crossed products are de ned and are related to gauge transformations. A relation between cleaving maps is described in terms of gauge transformations.

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This is an Accepted Manuscript of an article published by Taylor & Francis inCommunications in Algebra on 2009-06-24, available at: https://doi.org/10.1080/00927870802620274

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Crossed product| Weak cleft extension| Weak Hopf algebras

Bibliographic citation

Ana Belén Rodríguez Raposo abraposo@edu.xunta.es (2009) Crossed Products for Weak Hopf Algebras, Communications in Algebra, 37:7, 2274-2289, DOI: 10.1080/00927870802620274

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This paper was written while the author was visiting the Department of Mathematics of the University of Wales-Swansea supported by Universidade de Santiago de Compostela. She is also supported by Ministerio de Ciencia y Tecnolog´ıa, by Xunta de Galicia and by FEDER, Projects: BFM2003-07353-C02-01, PGIDITO4PXIC32202PN

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Atribución-Non comercial-Sen obra derivada 4.0 Internacional

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