Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 3, Pages 370–392
DOI: https://doi.org/10.4213/tmf436 (Mi tmf436) 		 
Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation

A. N. Leznovab

a Institute for High Energy Physics
b Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
Full-text PDF (289 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf436
Abstract: An explicit form of the generators of quantum and ordinary semisimple algebras for an arbitrary finite-dimensional representation is found. The generators corresponding to the simple roots are obtained in terms of a solution of a system of matrix equations. The result is presented in the form of $(N_l\times N_l)$ matrices, where $N_l$ is the dimension of the corresponding representation determined by the invariant Weyl formula.
Received: 05.10.1999
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 3, Pages 307–325
DOI: https://doi.org/10.1023/A:1010363816967
Bibliographic databases:
Language: Russian
Citation: A. N. Leznov, “Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation”, TMF, 126:3 (2001), 370–392; Theoret. and Math. Phys., 126:3 (2001), 307–325
Citation in format AMSBIB
\Bibitem{Lez01}
\by A.~N.~Leznov
\paper Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation
\jour TMF
\yr 2001
\vol 126
\issue 3
\pages 370--392
\mathnet{http://mi.mathnet.ru/tmf436}
\crossref{https://doi.org/10.4213/tmf436}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1863911}
\zmath{https://zbmath.org/?q=an:1035.17015}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 126
\issue 3
\pages 307--325
\crossref{https://doi.org/10.1023/A:1010363816967}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170328400002}
Linking options:
  • https://www.mathnet.ru/eng/tmf436
  • https://doi.org/10.4213/tmf436
  • https://www.mathnet.ru/eng/tmf/v126/i3/p370
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:283
    Full-text PDF :179
    References:34
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024