Decomposition of representations with highest weight of semisimple Lie algebra into representations of regular subalgebra

Alessio U. Klimyk

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1969)

  • Volume: 46, Issue: 2, page 144-148
  • ISSN: 0392-7881

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Klimyk, Alessio U.. "Decomposition of representations with highest weight of semisimple Lie algebra into representations of regular subalgebra." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 46.2 (1969): 144-148. <http://eudml.org/doc/296838>.

@article{Klimyk1969,
author = {Klimyk, Alessio U.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {144-148},
publisher = {Accademia Nazionale dei Lincei},
title = {Decomposition of representations with highest weight of semisimple Lie algebra into representations of regular subalgebra},
url = {http://eudml.org/doc/296838},
volume = {46},
year = {1969},
}

TY - JOUR
AU - Klimyk, Alessio U.
TI - Decomposition of representations with highest weight of semisimple Lie algebra into representations of regular subalgebra
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1969/2//
PB - Accademia Nazionale dei Lincei
VL - 46
IS - 2
SP - 144
EP - 148
LA - eng
UR - http://eudml.org/doc/296838
ER -

References

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  1. Séminaire «Sophus Lie» de l'Ecole Norm. Sup., 1954-1955, Vol. I, Secretariat Mathématique, Paris. MR73107
  2. DAYA, , Nand Verma, «Bull. Amer. Math. Soc.», 74, 160 (1968). MR218417DOI10.1090/S0002-9904-1968-11921-4
  3. KLIMYK, A. U., On highest-vector representations of semisimple Lie algebra (in Russian), preprint ITP-68-2, Kiev1968. 
  4. KLIMYK, A. U., Dopovidi Akad., «Nauk Ukrainian SSR, seria fis.-mat. nauk», 12 (1968). 
  5. KLIMYK, A. U., Semisimple Lie groups and algebras and their representations (in Russian), Kiev1968. 
  6. ANTOINE, J.-P. and SPEISER, D., «J. Math. Phys.», 5, 1226 (1964). MR168699DOI10.1063/1.1704230
  7. ANTOINE, J.-P. and SPEISER, D., «J. Math. Phys.», 5, 1560 (1964). MR168700DOI10.1063/1.1931189
  8. MANDELZWEIG, B., Doklady Arad., «Nauk USSR», 162, 1245 (1905). 

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