Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

ON TWO FINITENESS CONDITIONS FOR HOPF ALGEBRAS WITH NONZERO INTEGRAL

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
اقرأ أكثر حفظ في قائمتي
  • معلومة اضافية
    • Contributors:
      Massachusetts Institute of Technology. Department of Mathematics; Etingof, Pavel I
    • بيانات النشر:
      Scuola normale superiore di Pisa
    • الموضوع:
      2012
    • Collection:
      DSpace@MIT (Massachusetts Institute of Technology)
    • نبذة مختصرة :
      A Hopf algebra is co-Frobenius when it has a nonzero integral. It is proved that the composition length of the indecomposable injective comodules over a co-Frobenius Hopf algebra is bounded. As a consequence, the coradical filtration of a co-Frobenius Hopf algebra is finite; this confirms a conjecture by Sorin Dăscălescu and the first author. The proof is of categorical nature and the same result is obtained for Frobenius tensor categories of subexponential growth. A family of co-Frobenius Hopf algebras that are not of finite type over their Hopf socles is constructed, answering so in the negative another question by the same authors. ; National Science Foundation (U.S.) (Grant DMS-1000113)
    • File Description:
      application/pdf
    • ISSN:
      0391-173X
    • Relation:
      http://dx.doi.org/10.2422/2036-2145.201206_011; Annali della Scuola normale superiore di Pisa, Classe di scienze; http://hdl.handle.net/1721.1/107196; Andruskiewitsch, Nicolás, Juan Cuadra, and Pavel Etingof. “On Two Finiteness Conditions for Hopf Algebras with Nonzero Integral.” Annali Della Scuola Normale Superiore Di Pisa 2 (2015): 401–440.; orcid:0000-0002-0710-1416
    • الدخول الالكتروني :
      http://hdl.handle.net/1721.1/107196
    • Rights:
      Creative Commons Attribution-Noncommercial-Share Alike ; http://creativecommons.org/licenses/by-nc-sa/4.0/
    • الرقم المعرف:
      edsbas.D65ED17D