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Izvestiya: Mathematics, 1998, Volume 62, Issue 4, Pages 673–694
DOI: https://doi.org/10.1070/im1998v062n04ABEH000191 (Mi im191) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differential operators and differential calculus in quantum groups

D. P. Zhelobenko
English version PDF (226 kB) Citations (1)
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DOI: https://doi.org/10.1070/im1998v062n04ABEH000191
Abstract: The paper deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). We prove density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras $A$, $B$ and indicate connections with Drinfel'd's quantum double and differential geometry in quantum groups.
Received: 12.12.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 4, Pages 25–50
DOI: https://doi.org/10.4213/im191
Bibliographic databases:
MSC: 17B37, 16W30
Language: English
Original paper language: Russian
Citation: D. P. Zhelobenko, “Differential operators and differential calculus in quantum groups”, Izv. RAN. Ser. Mat., 62:4 (1998), 25–50; Izv. Math., 62:4 (1998), 673–694
Citation in format AMSBIB
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\paper Differential operators and differential calculus in quantum groups
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\jour Izv. Math.
\yr 1998
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\pages 673--694
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Linking options:
  • https://www.mathnet.ru/eng/im191
  • https://doi.org/10.1070/im1998v062n04ABEH000191
  • https://www.mathnet.ru/eng/im/v62/i4/p25
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:400
    Russian version PDF:326
    English version PDF:15
    References:45
    First page:1
     
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