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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 1, Pages 148–152 (Mi tmf1636)  

Notes on the differential calculi on quantum linear groups

P. N. Pyatova, P. A. Saponovb

a Joint Institute for Nuclear Research
b Institute for High Energy Physics
References:
Abstract: This talk is devoted to the problem of construction of the differential calculi on quantum linear groups. Basing on the natural algebraic postulates we examine the possible commutation relations for the $GL_q(N)$- and $SL_q(N)$-invariant differential forms and vector fields. It turns out that there exist several families of the admissible commutation rules for $GL_q(N)$, but, in contrast, the commutation prescription for $SL_q(N)$ is unique.
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 1, Pages 912–915
DOI: https://doi.org/10.1007/BF01017330
Bibliographic databases:
Language: Russian
Citation: P. N. Pyatov, P. A. Saponov, “Notes on the differential calculi on quantum linear groups”, TMF, 100:1 (1994), 148–152; Theoret. and Math. Phys., 100:1 (1994), 912–915
Citation in format AMSBIB
\Bibitem{PyaSap94}
\by P.~N.~Pyatov, P.~A.~Saponov
\paper Notes on the differential calculi on quantum linear groups
\jour TMF
\yr 1994
\vol 100
\issue 1
\pages 148--152
\mathnet{http://mi.mathnet.ru/tmf1636}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1305796}
\zmath{https://zbmath.org/?q=an:0852.17016}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 1
\pages 912--915
\crossref{https://doi.org/10.1007/BF01017330}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QC09900014}
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  • https://www.mathnet.ru/eng/tmf/v100/i1/p148
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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