Ext1-quivers for the Witt algebra W(1,1)
Abstract
Let g be the finite dimensional Witt algebra W(1,1) over an algebraically closed field of characteristic p > 3. It is well known that all simple W(1,1)-modules are finite dimensional. Each simple module admits a character in g*. Given such a one can form the (finite dimensional) reduced enveloping algebra u(g,). The simple modules for u(g,) are precisely those simple W(1,1)-modules admitting the character . In this paper the authors compute Ext1 between pairs of simple modules for u(g,).
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