On decompositions of the systems of roots of Кас-Moody algebras of rank 2

  • A. A. Tutov Киев. ун-т
  • V. M. Futorny Киев. ун-т

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

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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.

Published
04.12.1992
How to Cite
Tutov A. A., and Futorny V. M. “On Decompositions of the Systems of Roots of Кас-Moody Algebras of Rank 2 ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 12, Dec. 1992, pp. 1712-5, https://umj.imath.kiev.ua/index.php/umj/article/view/8196.
Section
Short communications