Title 



QuasiHopf algebras and representations of octonions and other quasialgebras
 
Author 



 
Abstract 



Modules over a quasialgebra (here, by quasialgebra we mean a left Hmodule algebra, where H is a quasiHopf algebra), as defined by Albuquerque and Majid, coincide with modules over a certain associative algebra, a quasiHopf smash product. As a consequence of this, we get that the category of modules over the octonions is isomorphic to the category of modules over the algebra of 8x8 real matrices. We provide a new approach to the endomorphism quasialgebra associated to a left Hmodule, which in the finite dimensional case yields the same results as the one of Albuquerque and Majid. We discuss possible definitions as endomorphism quasialgebras for Heisenberg doubles of a finite dimensional quasiHopf algebra. (C) 2004 American Institute of Physics.   
Language 



English
 
Source (journal) 



Journal of mathematical physics.  New York, N.Y.  
Publication 



New York, N.Y. : 2004
 
ISSN 



00222488
 
Volume/pages 



45:10(2004), p. 39123929
 
ISI 



000224456600012
 
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