Poincaré-birkhoff-witt Theorems

Abstract

We sample some Poincaré-Birkhoff-Witt theorems appearing in mathematics. Along the way, we compare modern techniques used to establish such results, for example, the Composition-Diamond Lemma, Gröbner basis theory, and the homological approaches of Braverman and Gaitsgory and of Polishchuk and Positselski. We discuss several contexts for PBW theorems and… (More)

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Cite this paper

@inproceedings{Shepler2014PoincarebirkhoffwittT, title={Poincaré-birkhoff-witt Theorems}, author={Anne V. Shepler and SARAH WITHERSPOON}, year={2014} }