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Representations of the Lorentz Algebra on the space of its universal enveloping algebra

  • V. Lie Groups, -Algebras and Superalgebras
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Conformal Groups and Related Symmetries Physical Results and Mathematical Background

Part of the book series: Lecture Notes in Physics ((LNP,volume 261))

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References

  1. Humphreys J.E.,1972 “ Introduction to Lie Algebras and Representation Theory” (New York: Springer)

    Google Scholar 

  2. Dixmier J.,1974 “Enveloping Algebras” (Amsterdam: North-Holland)

    Google Scholar 

  3. Varadarajan V.S., 1984 “Lie Groups Lie Algebras and their Representations” (New York: Springer)

    Google Scholar 

  4. Gel'fand I.M., Minlos R.A., Shapiro Z.Ya, 1963 “Representations of the Rotation and Lorentz Groups and their Applications ” (New York: Pergamon)

    Google Scholar 

  5. Naimark M.A., 1964 “Linear Representations of the Lorentz Group” (Oxford: Pergamon)

    Google Scholar 

  6. Dirac P.A.M.,1983 “The Future of Atomic Physics”, Int.J.Th.Phys.23 (8), 677–681.

    Google Scholar 

  7. Gruber B., Klimyk A., 1984 “Matrix Elements for Indecomposable Representations of Complex su(2) ”, J.Math,Phys.25 (4), 755–764.

    Google Scholar 

  8. Gruber B., Lenczewski R., 1983 “ Indecomposable Representations of the Lorentz Algebra in an Angular Momentum Basis ”, J.Phys.A 16, 3703–3722.

    Google Scholar 

  9. Lenczewski R.,Gruber B., 1986 “ Indecomposable Representations of the Poincare Algebra ”, J.Phys.A 19, 1–20. *** DIRECT SUPPORT *** A3418207 00006

    Google Scholar 

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A. O. Barut H. -D. Doebner

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© 1986 Springer-Verlag

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Lenczewski, R., Gruber, B. (1986). Representations of the Lorentz Algebra on the space of its universal enveloping algebra. In: Barut, A.O., Doebner, H.D. (eds) Conformal Groups and Related Symmetries Physical Results and Mathematical Background. Lecture Notes in Physics, vol 261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171630_88

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  • DOI: https://doi.org/10.1007/3540171630_88

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17163-8

  • Online ISBN: 978-3-540-47219-3

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