On characteristic identities for Lie algebras

D. M. O'Brien; A. Cant; A. L. Carey

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 26, Issue: 4, page 405-429
  • ISSN: 0246-0211

How to cite

top

O'Brien, D. M., Cant, A., and Carey, A. L.. "On characteristic identities for Lie algebras." Annales de l'I.H.P. Physique théorique 26.4 (1977): 405-429. <http://eudml.org/doc/75945>.

@article{OBrien1977,
author = {O'Brien, D. M., Cant, A., Carey, A. L.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {405-429},
publisher = {Gauthier-Villars},
title = {On characteristic identities for Lie algebras},
url = {http://eudml.org/doc/75945},
volume = {26},
year = {1977},
}

TY - JOUR
AU - O'Brien, D. M.
AU - Cant, A.
AU - Carey, A. L.
TI - On characteristic identities for Lie algebras
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 26
IS - 4
SP - 405
EP - 429
LA - eng
UR - http://eudml.org/doc/75945
ER -

References

top
  1. [1] P.A.M. Dirac, Proc. Roy. Soc., t. A 155, 1936, p. 447-459. Zbl0014.42304JFM62.1633.02
  2. [2] Y. Lehrer-Ilamed, Bull. Res. Counc. Israël, t. 5 A, 1956, p. 197. 
  3. [3] A.J. Bracken and H.S. Green, J. Math. Phys., t. 12, 1971, p. 2099-2106. MR305738
  4. [4] H.S. Green, J. Math. Phys., t. 12, 1971, p. 2106-2113. Zbl0229.17008MR305739
  5. [5] H.S. Green, to appear in J. Aust. Math. Soc. B, 1976. 
  6. [6] B. Kostant, J. Funct. Anal., t. 20, 1975, p. 257-285. Zbl0355.17010
  7. [7] J.E. Humphreys, Introduction to Lie Algebras and Representation Theory. Springer–Verlag, New York, Heidelberg, Berlin, 1972. Zbl0254.17004MR323842
  8. [8] See lemma 2.2 in J. Lepowsky, Trans. Amer. Math. Soc., t. 176, 1973, p. 1-49. Zbl0264.22012MR346093
  9. [9] W. Greub, Multilinear Algebra. Springer-Verlag, New York, Heidelberg, Berlin, 1967. Zbl0169.35302MR224623
  10. [10] N. Jacobson, Lectures in Abstract Algebra, III. Van Nostrand, Reinhold, New York, 1964. Zbl0124.27002MR172871
  11. [11] G. Warner, Harmonic Analysis on Semisimple Lie Groups I. Springer-Verlag, New York, Heidelberg, Berlin, 1972. Zbl0265.22020
  12. [12] K.C. Hannabuss, J. Phys. A, Ser. 2, t. 2, 1969, p. 274-277. 
  13. [13] H.S. Green, C.A. Hurst and Y. Ilamed, to appear in J. Math. Phys. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.