Whittaker modules for the twisted affine Nappi-Witten Lie algebra (H)over-cap(4) [tau]
Whittaker modules for the twisted affine Nappi-Witten Lie algebra (H)over-cap(4) [tau]
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扭曲仿射 Nappi-Witten 李代数的 Whittaker 模块 (H)over-cap(4) [tau]
DOI：
10.1016/j.jalgebra.2019.10.036
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发表时间：
2020
影响因子：
0.9
通讯作者：
Jiang Cuipo
中科院分区：
文献类型：
--
作者：
Chen Xue;Jiang Cuipo
研究了扭仿射Nappi-Witten李代数H <$4 [τ]的Whittaker模M <$4及其商Whittaker模L <$，<$4.对于非奇异型，证明了：若k ≠ 0，则L ≠，L ≠是不可约的，且任意k为非零标量k的非奇异型不可约Whittaker H ≠ 4 [τ]-模同构于L ≠，L ≠.此外，当λ = 0时，L λ，0的所有Whittaker向量完全确定。对于奇异型，充分刻画了L_∞，L_∞的Whittaker向量，其中L_∞为0.
The Whittaker module M ψ and its quotient Whittaker module L ψ, ξ for the twisted affine Nappi-Witten Lie algebra H ˆ 4 [τ] are studied. For nonsingular type, it is proved that if ξ≠ 0, then L ψ, ξ is irreducible and any irreducible Whittaker H ˆ 4 [τ]-module of type ψ with k acting as a non-zero scalar ξ is isomorphic to L ψ, ξ. Furthermore, for ξ= 0, all Whittaker vectors of L ψ, 0 are completely determined. For singular type, the Whittaker vectors of L ψ, ξ with ξ≠ 0 are fully characterized.