대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제16권1호
  • /
  • Pages.85-94
  • /
  • 2001
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

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)
  • 발행 : 2001.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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$\delta$)}⊂$\Delta$+($\omega$).

키워드

참고문헌

  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