modules of the toroidal lie algebra $widehat{widehat{mathfrak{sl}}}_{2}$

نویسندگان

n. ‎jing

department of mathematics, ‎shanghai university, ‎shanghai 200444‎, ‎china. c. wang

school of information and mathematics, ‎yangtze university, ‎jingzhou 434023‎, ‎china.

چکیده

‎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 $c_2=0$.

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منابع مشابه

Modules of the toroidal Lie algebra $widehat{widehat{mathfrak{sl}}}_{2}$

‎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 $c_2=0$.

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عنوان ژورنال:
bulletin of the iranian mathematical society

جلد ۴۳، شماره ۱، صفحات ۱۷-۲۴

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