On the basic representation of the affine Kac-Moody Lie algebras D n ( 1 )

Thomas N. Vougiouklis

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 1, page 117-125
  • ISSN: 0010-2628

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Vougiouklis, Thomas N.. "On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$." Commentationes Mathematicae Universitatis Carolinae 029.1 (1988): 117-125. <http://eudml.org/doc/17602>.

@article{Vougiouklis1988,
author = {Vougiouklis, Thomas N.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {principal realization; basic representation; affine Kac-Moody algebra},
language = {eng},
number = {1},
pages = {117-125},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the basic representation of the affine Kac-Moody Lie algebras $D_n^\{(1)\}$},
url = {http://eudml.org/doc/17602},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Vougiouklis, Thomas N.
TI - On the basic representation of the affine Kac-Moody Lie algebras $D_n^{(1)}$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 1
SP - 117
EP - 125
LA - eng
KW - principal realization; basic representation; affine Kac-Moody algebra
UR - http://eudml.org/doc/17602
ER -

References

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  1. DJOKOVIĆ D., Classification of Z-graded real semisimple Lie algebras, Journal of Algebra 76 (1982), 367-382. (1982) MR0661861
  2. DUSHAN P., Deformations of graded nilpotent Lie algebras, Moscow Un. Math. Bulletin, Vol. 36, No 44 (1981), 62-66. (1981) Zbl0484.17008
  3. KAČ V., Infinite Dimensional Lie algebras, Birkhäuser, Boston, 1983. (1983) MR0739850
  4. KAČ V., Simple irreducible graded Lie algebras of finite growth, Izv. Akad. Nauk SSSR Ser. Mat. Tom 32 (1968), No 6, 1271-1311. (1968) MR0259961
  5. KAČ V., KAZHDAN O., LEPOWSKY J., WILSON R., Realization of the basic representations of the Euclidean Lie algebras, Advances in Math. 42 (1981), 83-112. (1981) MR0633784
  6. KOSTANT B., The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, American Journal of Math. 81 (1959), 973-1032. (1959) Zbl0099.25603MR0114875
  7. LEPOWSKY J., WILSON R., Construction of the affine Lie algebra A 1 ( 1 ) , Comm. Math. Phys. 62 (1978), 43-53. (1978) MR0573075
  8. MITZMAN D., Integral Bases for Affine Lie Algebras and Their Universal Enveloping Algebras, A.M.S. Contemporary Math. Vol. 40 (1985). (1985) Zbl0572.17009MR0786830
  9. MOODY R., A new class of Lie algebras, Journal of Algebra 10 (1968), 211-230. (1968) Zbl0191.03005MR0229687
  10. VOUGIOUKLIS T., On affine Kac-Moody Lie algebras, Comment. Math . Univ. Carolinae 26 (1985), 387-395. (1985) Zbl0579.17012MR0803936

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