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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 44, Issue 2, Pages 315–338
DOI: https://doi.org/10.1070/IM1995v044n02ABEH001599 (Mi im805) 		 
Yang–Baxter operators and noncommutative de Rham complexes

E. E. Mukhin
English version PDF (1342 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1995v044n02ABEH001599
Abstract: Axiomatic approaches to the construction of differential calculi on quantum objects are studied in this paper. The connection between universal coacting semigroups and $R$-matrix quantum semigroups is investigated. Covariant quantum (noncommutative) de Rham complexes on quantum spaces, strong $R$-matrix quantum semigroups, and the quantum group $SL_q(2)$ are described.
Received: 13.10.1992
Bibliographic databases:
UDC: 513.015
MSC: Primary 17B37, 16W25, 16W30; Secondary 58A10, 58H99, 81R50
Language: English
Original paper language: Russian
Citation: E. E. Mukhin, “Yang–Baxter operators and noncommutative de Rham complexes”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 315–338
Citation in format AMSBIB
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\by E.~E.~Mukhin
\paper Yang--Baxter operators and noncommutative de~Rham complexes
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 44
\issue 2
\pages 315--338
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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