Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

Details Classification of Harish-Chandra modules over the $W$-algebra W(2,2) Classification of Harish-Chandra modules over the $W$-algebra W(2,2)

2008-01-17

arxiv.org/abs/0801.2601v2

Mathematics

Representation Theory

Latex, 20 pages

Scientific paper

In this paper, we classify all irreducible weight modules with finite
dimensional weight spaces over the $W$-algebra $W(2, 2)$. Meanwhile, all
indecomposable modules with one dimensional weight spaces over the $W$-algebra
$W(2, 2)$ are also determined.

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