Title of article
Modules of the toroidal Lie algebra $widehat{widehat{mathfrak{sl}}}_{2}$
Author/Authors
-، - نويسنده Department of Mathematics, Shanghai University, Shanghai 200444, China. Jing, N. , -، - نويسنده School of Information and Mathematics, Yangtze University, Jingzhou 434023, China. Wang, C.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2017
Pages
8
From page
17
To page
24
Abstract
-
Abstract
Highest weight modules of the double affine Lie algebra $widehat{widehat{mathfrak{sl}}}_{2}$ are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition $c_1>0$ and $c_2=0$.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2400319
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