Title 



LRSmash biproducts, double biproducts and a braided category of YetterDrinfeldLong bimodules
 
Author 



 
Abstract 



Let H be a bialgebra and D an Hbimodule algebra and Hbicomodule coalgebra. We find sufficient conditions on D for the LRsmash product algebra and coalgebra structures on D circle times H to form a bialgebra (in this case we say that (H, D) is an LRadmissible pair), called LRsmash biproduct. The Radford biproduct is a particular case, and so is, up to isomorphism, a double biproduct with trivial pairing. We construct a prebraided monoidal category LR(H), whose objects are Hbimodules Hbicomodules M endowed with leftleft and rightright YetterDrinfeld module as well as leftright and rightleft Long module structures over H, with the property that, if (H, D) is an LRadmissible pair, the D is a bialgebra in LR(H).   
Language 



English
 
Source (journal) 



The Rocky Mountain journal of mathematics.  Provo, Utah  
Publication 



Provo, Utah : 2010
 
ISSN 



00357596
 
Volume/pages 



40:6(2010), p. 20132024
 
ISI 



000286638500017
 
Full text (Publisher's DOI) 


  
