@article{batten_bosko-dunbar_hedges_hird_stagg_stitzinger_2013, title={A FRATTINI THEORY FOR LEIBNIZ ALGEBRAS}, volume={41}, ISSN={["1532-4125"]}, DOI={10.1080/00927872.2011.643844}, abstractNote={A Frattini theory for non-associative algebras was developed in [13] and results for particular classes of algebras have appeared in various articles. Especially plentiful are results on Lie algebras. It is the purpose of this paper to extend some of the Lie algebra results to Leibniz algebras.}, number={4}, journal={COMMUNICATIONS IN ALGEBRA}, author={Batten, Chelsie and Bosko-Dunbar, Lindsey and Hedges, Allison and Hird, J. T. and Stagg, Kristen and Stitzinger, Ernest}, year={2013}, month={Apr}, pages={1547–1557} } @article{hird_jing_stitzinger_2011, title={CODES AND SHIFTED CODES OF PARTITIONS}, volume={21}, ISSN={["1793-6500"]}, url={http://www.scopus.com/inward/record.url?eid=2-s2.0-84555186874&partnerID=MN8TOARS}, DOI={10.1142/s0218196711006595}, abstractNote={ In a recent paper, Carrell and Goulden found a combinatorial identity of the Bernstein operators that they then used to prove Bernstein's theorem. We show that this identity is a straightforward consequence of the classical result. We also show how a similar approach using the codes of partitions can be generalized from Schur functions to also include Schur Q-functions and derive the combinatorial formulation for both cases. We then apply them by examining the Littlewood–Richardson and Pieri rules. }, number={8}, journal={INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION}, author={Hird, J. T. and Jing, Naihuan and Stitzinger, Ernest}, year={2011}, month={Dec}, pages={1447–1462} }