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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 107 - 113 (7page)
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In this paper, we study the root system of rank 2 symmetric hyperbolic Kac-Moody algebras. We give the suffcient conditions for existence of imaginary roots of square length -2k(k ∈ Z>0 ). We also give several relations between the roots on g(A).
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참고문헌 (8)
참고문헌 신청
A.J. Feingold / 1980 / A hyperbolic GCM and the Fibonachi numbers / Proc. Amer. Math. Soc 80 : 379 ~ 385
G.M, Benkart / 1993 / Graded Lie Algebras of Kac-Moody Type / Adv. in Math 97 : 154 ~ 190
R.V. Moody / 1968 / A new class of Lie algebras / J. Algebra 10 : 210 ~ 230
R.V. Moody / 1979 / Root System of Hyperbolic Type / Adv. in Math 33 : 144 ~ 160
S.-J, Kang / 1994 / Root multiplicities of Kac-Moody Algrbras HA(1)n / J. Algebra 170 : 277 ~ 299
G.M, Benkart / 1993 / Graded Lie Algebras of Kac-Moody Type / Adv. in Math 97 : 154 ~ 190
R.V. Moody / 1968 / A new class of Lie algebras / J. Algebra 10 : 210 ~ 230
R.V. Moody / 1979 / Root System of Hyperbolic Type / Adv. in Math 33 : 144 ~ 160
S.-J, Kang / 1994 / Root multiplicities of Kac-Moody Algrbras HA(1)n / J. Algebra 170 : 277 ~ 299
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