IJPAM: Volume 102, No. 1 (2015)

STRUCTURE OF INDEFINITE QUASI-AFFINE
KAC-MOODY ALGEBRAS $QAD_3^{(2)}$

A. Uma Maheswari
Department of Mathematics
Quaid-E-Millath Government College for Women (Autonomous)
Chennai, Tamil Nadu, INDIA


Abstract. In this work a class of indefinite quasi-affine type of Kac-Moody algebras $QAD_{3}^{(2)}$ is defined. To understand the structure of these Quasi-Affine algebras, first, these algebras are realized as graded Lie algebra of kac-Moody type. Then using the homological techniques and spectral sequences theory, the homology modules are computed upto level 3 and then the structure of the components of the maximal ideals upto level 5 is computed.

Received: October 28, 2014

AMS Subject Classification: 17B67

Key Words and Phrases: Kac-Moody algebra, finite, affine, indefinite, extended hyperbolic, quasi hyperbolic, homology modules, spectral sequences

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DOI: 10.12732/ijpam.v102i1.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 1
Pages: 57 - 72


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