A Note on the Root Spaces of Affine Lie Algebras of Type $D_{l}^{(1)}$

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2005, v.12 no.1, pp.65-73

KIM YEONOK (DEPARTMENT OF MATHEMATICS)

KIM YEONOK. (2005). A NOTE ON THE ROOT SPACES OF AFFINE LIE ALGEBRAS OF TYPE <TEX>$D_{\iota}^{(1)}$</TEX>. 한국수학교육학회지시리즈B:순수및응용수학, 12(1), 65-73.

복사

Abstract

Let g = g(A) = (equation omitted) + be a symmetrizable Kac-Moody Lie algebra of type D/sub l//sup (1) with W as its Weyl group. We construct a sequence of root spaces with certain conditions. We also find the number of terms of this sequence is less then or equal to the hight of θ, the highest root.

keywords: Kac-Moody Lie Algebra, affine type, Weyl group

바로가기메뉴

논문 상세

Vol.12 No.1

A NOTE ON THE ROOT SPACES OF AFFINE LIE ALGEBRAS OF TYPE <TEX>$D_{\iota}^{(1)}$</TEX>

A Note on the Root Spaces of Affine Lie Algebras of Type $D_{l}^{(1)}$

Abstract

한국수학교육학회지시리즈B:순수및응용수학