engleski

sl2-Harish-Chandra modules for sl2⋉L(4)

We use analogues of Enright's and Arkhipov's functors to determine the quiver and relations for a category of sl_2 ⋉ L(4)-modules which are locally finite (and with finite multiplicities) over sl_2. We also outline serious obstacles to extend our result to sl_2 ⋉ L(k), for k > 4.

sl2-Harish-Chandra module ; Enright-Arkhipov localization / completion ; Conformal Galilei algebra

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