Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NOTE ON THE ROOT SYSTEM OF AN AFFINE LIE ALGEBRA OF TYPE A(sub)2ι(sup)(2)

  • Kim, Yeon-Ok (Department of Mathematics, Soongsil University)
  • Published : 2001.01.01
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Abstract

Let g=g(A) be an affine Lie algebra of type A(sub)2ι(sup)(2)(ι>1) and W be its Weyl group. In this paper, we find $\omega$$\in$W such that $\Delta$+U{1/2($\alpha$ι+$\delta$), 1/2($\alpha$ι+3$\delta$)}⊂$\Delta$+($\omega$).

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References

  1. Tohoku Math. J. v.40 no.4 Root strings with three or four real roots in Kac-Moody root systems J. Morita
  2. Infinite-Dimensional Lie Algebra V. G. Kac
  3. Tohoku Math. J. v.47 Root Strings with Two Consecutive Real roots Y. Billig;A. Pianzola
  4. Introduction to Kac-Moody Algebra Z. Wan