@misc{asai2016semibricks, title={Semibricks}, author={Asai, Sota}, eprint={1610.05860}, year={2016}, opturl={https://arxiv.org/abs/1610.05860} } @book{ASS, title={Elements of the Representation Theory of Associative Algebras, Volume 1: Techniques of Representation Theory}, author={Assem, Ibrahim and Simson, Daniel and Skowro\'nski, Andrzej}, series={London Mathematical Society Student Texts}, volume={65}, publisher={Cambridge University Press}, year={2006}, doi={10.1017/CBO9780511614309} } @article{BY, title={Ordered exchange graphs}, author={Br{\"u}stle, Thomas and Yang, Dong}, journal={Advances in Representation Theory of Algebras}, pages={135--193}, year={2014}, doi={10.4171/125-1/5} } @article{cameron1995orbits, title={Orbits of antichains revisited}, author={Cameron, Peter J and Fon{-}der{-}Flaass, Dmitry G}, journal={European Journal of Combinatorics}, volume={16}, number={6}, pages={545--554}, year={1995}, publisher={Elsevier}, doi={10.1016/0195-6698(95)90036-5} } @article{fon1993orbits, title={Orbits of antichains in ranked posets}, author={Fon{-}der{-}Flaass, Dmitry G}, journal={European journal of combinatorics}, volume={14}, number={1}, pages={17--22}, year={1993}, publisher={Elsevier}, doi={10.1006/eujc.1993.1003} } @article{joseph2018toggling, title={Toggling Independent Sets of a Path Graph}, author={Joseph, Michael and Roby, Tom}, journal={Electr. J. Comb.}, volume={25}, number={1}, pages={P1--18}, year={2018}, doi={10.37236/6755} } @article{markowsky1975factorization, title={The factorization and representation of lattices}, author={Markowsky, George}, journal={Transactions of the American Mathematical Society}, volume={203}, pages={185--200}, year={1975}, doi={10.1090/S0002-9947-1975-0360386-3} } @article{markowsky1992primes, title={Primes, irreducibles and extremal lattices}, author={Markowsky, George}, journal={Order}, volume={9}, number={3}, pages={265--290}, year={1992}, publisher={Springer}, doi={10.1007/BF00383950} } @misc{striker2016rowmotion, title={Rowmotion and generalized toggle groups}, author={Striker, Jessica}, eprint={1601.03710}, year={2016}, opturl={https://arxiv.org/abs/1601.03710} } @article{striker2012promotion, title={Promotion and rowmotion}, author={Striker, Jessica and Williams, Nathan}, journal={European Journal of Combinatorics}, volume={33}, number={8}, pages={1919--1942}, year={2012}, publisher={Elsevier}, doi={10.1016/j.ejc.2012.05.003} } @article{thomas2006analogue, title={An analogue of distributivity for ungraded lattices}, author={Thomas, Hugh}, journal={Order}, volume={23}, number={2}, pages={249--269}, year={2006}, publisher={Springer}, doi={10.1007/s11083-006-9046-9} } @article{TW, title={Rowmotion in slow motion}, author={Thomas, Hugh and Williams, Nathan}, journal={Proceedings of the London Mathematical Society}, volume={119}, number={5}, pages={1149--1178}, year={2019}, publisher={Wiley Online Library}, doi={10.1112/plms.12251} } @article{TW2, title={Independence posets}, author={Thomas, Hugh and Williams, Nathan}, journal={Journal of Combinatorics}, volume={10}, number={3}, pages={545--578}, year={2019}, publisher={International Press of Boston}, doi={10.4310/JOC.2019.v10.n3.a5} } @misc{TWposter, title = "Independence Posets", author = "Thomas, Hugh and Williams, Nathan", url = {https://personal.utdallas.edu/~nxw170830/docs/FPSAC2020/independence_posets.html}, year = "2020" }