Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4596
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Albuquerque, Helena | - |
dc.contributor.author | Kraußhar, Rolf Sören | - |
dc.date.accessioned | 2008-09-01T11:34:58Z | - |
dc.date.available | 2008-09-01T11:34:58Z | - |
dc.date.issued | 2008 | en_US |
dc.identifier.citation | Journal of Algebra. 319:3 (2008) 1116-1131 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/4596 | - |
dc.description.abstract | Let G be a finite group and be its group algebra defined over . If we define in G a 2-cochain F, then we can consider the algebra which is obtained from deforming the product, x.Fy=F(x,y)xy, [for all]x,y[set membership, variant]G. Examples of algebras are Clifford algebras and Cayley algebras like octonions. In this paper we consider generalizations of lattices with complex multiplication in the context of these twisted group algebras. We explain how these induce the natural algebraic structure to endow any arbitrary finite-dimensional lattice whose real components stem from any finite algebraic field extension over with a multiplicative closed structure. Furthermore, we develop some fully explicit characterizations in terms of generalized trace and norm functions. | en_US |
dc.description.uri | http://www.sciencedirect.com/science/article/B6WH2-4RKJTMK-3/1/184db60ddec03bbc47ef383cfa81df7d | en_US |
dc.format.mimetype | aplication/PDF | en |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.subject | Twisted group algebras | en_US |
dc.subject | Lattices | en_US |
dc.subject | Algebraic number fields | en_US |
dc.subject | Generalized norm and trace functions | en_US |
dc.title | Multiplicative invariant lattices in obtained by twisting of group algebras and some explicit characterizations | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1016/j.jalgebra.2007.11.019 | - |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-0332-8039 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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filee534e4c794284aec92caaab62e59cfb6.pdf | 185.54 kB | Adobe PDF | View/Open |
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