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
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
