On affine Kac-Moody Lie algebras

Thomas N. Vougiouklis

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 2, page 387-395
  • ISSN: 0010-2628

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Vougiouklis, Thomas N.. "On affine Kac-Moody Lie algebras." Commentationes Mathematicae Universitatis Carolinae 026.2 (1985): 387-395. <http://eudml.org/doc/17392>.

@article{Vougiouklis1985,
author = {Vougiouklis, Thomas N.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {affine Kac-Moody Lie algebras of type ; graded Lie; algebras of type ; basic representation; Euclidean Lie algebras; eigenvalues},
language = {eng},
number = {2},
pages = {387-395},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On affine Kac-Moody Lie algebras},
url = {http://eudml.org/doc/17392},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Vougiouklis, Thomas N.
TI - On affine Kac-Moody Lie algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 2
SP - 387
EP - 395
LA - eng
KW - affine Kac-Moody Lie algebras of type ; graded Lie; algebras of type ; basic representation; Euclidean Lie algebras; eigenvalues
UR - http://eudml.org/doc/17392
ER -

References

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  1. D. Ž. DJOKOVIĆ, Classification of Z -graded real semisimpe Lie algebras, Journal of Algebra 76 (1982), 367-382. (1982) MR0661861
  2. V. G. KAČ, Simple irreducible graded Lie algebras of finite growth, Isv. Akad. Nauk. SSSR Ser. Mat. Tom 32 (1968) No 5, 1271-1311. (1968) MR0259961
  3. V. G. KAČ D. A. KAZHDAN J. LEPOWSKY R. L.WILSON, Realization of the basic representations of the Euclidean Lie algebras, Advances in Mathematics, 42 (1981), 83-112. (1981) MR0633784
  4. B. KOSTANT, The principal three-dimensional subgroup and the Betti numbers of a complex simple Lie group, American Journal of Mathematics 81 (1959), 973-1032. (1959) Zbl0099.25603MR0114875
  5. J. LEPOWSKY R. L. WILSON, Construction of the affine Lie algebra A 1 ( 1 ) , Comm. Math. Phys. 62 (1978), 43-53. (1978) MR0573075
  6. R. V. MOODY, A new class of Lie algebras, Journal of algebra 10 (1968), 211-230. (1968) Zbl0191.03005MR0229687

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