본문 바로가기
KERD
논문KCI 등재

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

김연옥
한국수학교육학회|2005.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제12권 제1호|pp. 65-73

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

Let g = g(A) = N−  h  N+ be a symmetrizable Kac-Moody Lie algebra of type D(1) l 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 , the highest root.

참고문헌 (5)

  1. Humphreys, "Introduction to Lie algebras and representation theory GraduateTexts in Mathematics" (1972), Springer-Verlag
  2. Morita, "Root strings with three or four real roots in Kac-Moody root systems" (1988)
  3. Kim, "On the nilpotency of certain subalgebras ofKac-Moody Lie algebras", 14(1), pp.11~23 (2004)
  4. Billig, "Root strings with two consecutive real roots", (2) 47 ((3), pp.391?~403 (1995)
  5. Wan, "Introduction to Kac-Moody algebra" (1991), World Scientific Publishing Co Inc

관련 논문AI추천

On the nilpotency of certain subalgebras of Kac-Moody algebras of type A_N^{(r)}Seungkeun Min, Yeonok Kim대한수학회 · 대한수학회논문집2003 · 제18권 제3호A NOTE ON THE RANK 2 SYMMETRIC HYPERBOLIC KAC-MOODY ALGEBRAS김연옥한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제1호Subalgebras of a $q$-analog for the Virasoro algebra왕문옥, Ki-Bong Nam대한수학회 · 대한수학회보2003 · 제40권 제4호Simple Lie algebras which generalize KPS's Lie algebras왕문옥, Ki-Bong Nam대한수학회 · 대한수학회논문집2002 · 제17권 제2호Highest weight vectors of irreducible representations of the quantum superalgebra $\uq\left(gl(m,n) \right)$문동호대한수학회 · 대한수학회지2003 · 제40권 제1호GENERALIZED MCKAY QUIVERS, ROOT SYSTEM AND KAC-MOODY ALGEBRASBo Hou, Shilin Yang대한수학회 · 대한수학회지2015 · 제52권 제2호

이 간행물의 다른 논문 (6건)

K-theory of Crossed Products of $C^*$-algebras Two Metric SpacesTakahiro SUDOpp. 1-15Common Fixed Point in Fuzzy Metric SpacesSushil Sharma, Jayesh K. Tiwaripp. 17-31Intuitionistic H-Fuzzy Sets허걸, Hee Won Kang, Jang Hyun Ryoupp. 33-45A Functions and its Graph FuctionG. I. Chae, V. P. Singh, Y. S. Park, R. P. Giharepp. 47-55On a Class of Meromorphically p-Valent Starlike FunctionsDinggong Yang, Neng Xupp. 57-63
원문 보기