Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 253–269
DOI: https://doi.org/10.4213/mzm9308 (Mi mzm9308) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On Finite-Dimensional Semisimple Hopf Algebras of Dimension $n(n+1)$

S. Yu. Spiridonova

M. V. Lomonosov Moscow State University
Full-text PDF (554 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9308
Abstract: We study finite-dimensional semisimple Hopf algebras over an algebraically closed field which have only one summand of dimension greater than $1$ in their semisimple decompositions and assume that the group of group elements in the dual Hopf algebra is cyclic and has minimal order. Under given constraints, we obtain a detailed description of the comultiplication and the antipode.
Keywords: semisimple Hopf algebra, comultiplication, antipode, coassociativity of comultiplication, semisimple decomposition, homomorphism, cocommutative Hopf algebra.
Received: 12.05.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 243–258
DOI: https://doi.org/10.1134/S0001434612010257
Bibliographic databases:
Document Type: Article
UDC: 512.667.7
Language: Russian
Citation: S. Yu. Spiridonova, “On Finite-Dimensional Semisimple Hopf Algebras of Dimension $n(n+1)$”, Mat. Zametki, 91:2 (2012), 253–269; Math. Notes, 91:2 (2012), 243–258
Citation in format AMSBIB
\Bibitem{Spi12}
\by S.~Yu.~Spiridonova
\paper On Finite-Dimensional Semisimple Hopf Algebras of Dimension $n(n+1)$
\jour Mat. Zametki
\yr 2012
\vol 91
\issue 2
\pages 253--269
\mathnet{http://mi.mathnet.ru/mzm9308}
\crossref{https://doi.org/10.4213/mzm9308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3201412}
\elib{https://elibrary.ru/item.asp?id=20731482}
\transl
\jour Math. Notes
\yr 2012
\vol 91
\issue 2
\pages 243--258
\crossref{https://doi.org/10.1134/S0001434612010257}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303478400025}
\elib{https://elibrary.ru/item.asp?id=17977483}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857520324}
Linking options:
  • https://www.mathnet.ru/eng/mzm9308
  • https://doi.org/10.4213/mzm9308
  • https://www.mathnet.ru/eng/mzm/v91/i2/p253
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:413
    Full-text PDF :179
    References:60
    First page:29
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024