We construct fermionic-bosonic representations for a class of generalized B（m, n）, C（n）, D（m, n）-graded Lie superalgebras coordinatized by quantum tori with nontrivial central extensions.
We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the ...We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 （W, W × W） is trivial,展开更多
文摘We construct fermionic-bosonic representations for a class of generalized B（m, n）, C（n）, D（m, n）-graded Lie superalgebras coordinatized by quantum tori with nontrivial central extensions.
文摘We investigate Lie bialgebra structures on the derivation Lie algebra over the quantum torus. It is proved that, for the derivation Lie algebra W over a rank 2 quantum torus, all Lie bialgebra structures on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first eohomology group H1 （W, W × W） is trivial,
