On decompositions of the systems of roots of Кас-Moody algebras of rank 2
Abstract
A classifications is presented of the parabolic decompositions of the system of roots of Kac—Moody algebras of rank 2. New series of irreducible representations are constructed.
References
Бурбаки Н. Группы и алгебры Ли. — М.:Мир, 1972. — 331 с.
Futorny V. M. Parabolic partitions of root systems and corresponding representations of the affine Lie algebras // Root systems, representations and geometries . - Kiev, 1990. - P. 29 - 39. - (Prepr. / Acad. Sci. Ukr. Inst. Math.; 90. 8).
Futorny V. M. On imaginary Verma modules over the affine Lie algebra $A_1^{(1)}$. - Oslo, 1991. - 13p. - (Prepr. I Univ. Oslo; 9).
Кас V.G. Infinite dimensional Lie algebras. - Boston: Birkhäuser, 1983.
Овсиенко C. A. Квадратичные формы в теории представлений: Дис....канд. физ. - мат. наук. -Киев, 1978.- 128 с.
Copyright (c) 1992 A. A. Tutov , V. M. Futorny
This work is licensed under a Creative Commons Attribution 4.0 International License.