Blocks of Whittaker modules over bar S_2 with finite-dimensional Whittaker spaces are equivalent to finite-dimensional modules over a parabolic subalgebra, with simples classified via gl_2-modules and one block equivalent to H_1-fmod.
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The category of Whittaker modules over the Cartan Type Lie algebra $\bar{S}_2$
Blocks of Whittaker modules over bar S_2 with finite-dimensional Whittaker spaces are equivalent to finite-dimensional modules over a parabolic subalgebra, with simples classified via gl_2-modules and one block equivalent to H_1-fmod.