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arXiv · 0805.2313

Ext^1-quivers for the Witt algebra W(1,1)

Brian D. Boe·Daniel K. Nakano·Emilie Wiesner
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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 χin g^*. Given such a χone can form the (finite dimensional) reduced enveloping algebra u(g,χ). The simple modules for u(g,χ) are precisely those simple W(1,1)-modules admitting the character χ. In this paper the authors compute Ext^1 between pairs of simple modules for u(g,χ).

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BibTeXRIS

Brian D. Boe, Daniel K. Nakano, Emilie Wiesner. 2008-05-15. Ext^1-quivers for the Witt algebra W(1,1). https://arxiv.org/abs/0805.2313

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