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Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras
Mälardalen University, School of Education, Culture and Communication. (Mathematics/Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2009 (English)In: Generalized Lie theory in mathematics, physics and beyond / [ed] Silvestrov, S.D.; Paal, E.; Abramov, V.; Stolin, A, Berlin Heidelberg: Springer , 2009, p. 189-206Chapter in book (Refereed)
Abstract [en]

The aim of this paper is to develop the coalgebra counterpart of the notions introduced by the authors in a previous paper, we introduce the notions of Hom-coalgebra, Hom-coassociative coalgebra and G-Hom-coalgebra for any subgroup G of permutation group S3. Also we extend the concept of Lie-admissible coalgebra by Goze and Remm to Hom-coalgebras and show that G-Hom-coalgebras are Hom-Lie admissible Hom-coalgebras, and also establish duality correspondence between classes of G-Hom-coalgebras and G-Hom-algebras. In another hand, we provide relevant definitions and basic properties of Hom-Hopf algebras generalizing the classical Hopf algebras and define the module and comodule structure over Hom-associative algebra or Hom-coassociative coalgebra.

Place, publisher, year, edition, pages
Berlin Heidelberg: Springer , 2009. p. 189-206
Keyword [en]
hom-algebra, hom-coalgebra, hom-Hopf algebra, hom-bialgebra, hom-Lie algebra, hom-associative algebra
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-22083DOI: 10.1007/978-3-540-85332-9_17ISBN: 978-3-540-85331-2 (print)ISBN: 978-3-540-85332-9 (print)OAI: oai:DiVA.org:mdh-22083DiVA, id: diva2:682291
Available from: 2013-12-27 Created: 2013-10-23 Last updated: 2014-01-16Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1007/978-3-540-85332-9_17

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Silvestrov, Sergei

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Total: 27 hits
CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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