@article{bakalov_sullivan_2016, title={Twisted logarithmic modules of free field algebras}, volume={57}, ISSN={["1089-7658"]}, DOI={10.1063/1.4953249}, abstractNote={Given a non-semisimple automorphism φ of a vertex algebra V, the fields in a φ-twisted V-module involve the logarithm of the formal variable, and the action of the Virasoro operator L0 on such a module is not semisimple. We construct examples of such modules and realize them explicitly as Fock spaces when V is generated by free fields. Specifically, we consider the cases of symplectic fermions (odd superbosons), free fermions, and βγ-system (even superfermions). In each case, we determine the action of the Virasoro algebra.}, number={6}, journal={JOURNAL OF MATHEMATICAL PHYSICS}, author={Bakalov, Bojko and Sullivan, McKay}, year={2016}, month={Jun} } @article{burch_harris_mcalister_rogers_stitzinger_sullivan_2015, title={2-recognizeable classes of Leibniz algebras}, volume={423}, ISSN={["1090-266X"]}, DOI={10.1016/j.jalgebra.2014.10.039}, abstractNote={We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and supersolvable. These same results hold in Lie algebras and in general for groups.}, journal={JOURNAL OF ALGEBRA}, author={Burch, Tiffany and Harris, Meredith and McAlister, Allison and Rogers, Elyse and Stitzinger, Ernie and Sullivan, S. McKay}, year={2015}, month={Feb}, pages={506–513} }