Loop与current Virasoro型Lie双代数的对偶

Dual Lie bialgebra structures of loop and current Virasoro algebras

Loop与current Virasoro型Lie代数分别是Virasoro代数与多项式代数和Laurent多项式代数的张量Lie代数.本文给出了loop型与current Virasoro型Lie双代数的对偶Lie双代数结构.由此得到了一系列无限维Lie代数.

The loop and current Virasoro algebras are respectively the tensor product Lie algebras of the Virasoro algebra with the polynomial and Laurent polynomial algebra. In the present paper, the structures of dual Lie bialgebras of loop and current Virasoro algebras are investigated. As a result, a series of new infinite dimensional Lie algebras are obtained.