Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres

Reference : Hodge duality operators on left covariant exterior algebras over two and three dimens...


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/14213

Title :	Hodge duality operators on left covariant exterior algebras over two and three dimensional quantum spheres
Language :	English
Author, co-author :	Zampini, Alessandro [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Jun-2013
Journal title :	Reviews in Mathematical Physics
Publisher :	World Scientific Publishing Company
Volume :	25
Issue/season :	05
Pages :	1350009
Peer reviewed :	Yes
Audience :	International
ISSN :	0129-055X
Keywords :	[en] Differential calculi on quantum groups ; Hodge operators ; Laplacian
Abstract :	[en] Using non-canonical braidings, we ﬁrst introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left-covariant 3d diﬀerential calculi over SUq(2), then we induce Hodge operators on the left-covariant 2d exterior algebra over the Podle`s quantum sphere.
Permalink :	http://hdl.handle.net/10993/14213
DOI :	10.1142/S0129055X13500098

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