@InProceedings{ivanyos_et_al:LIPIcs.ITCS.2022.87, author = {Ivanyos, G\'{a}bor and Mittal, Tushant and Qiao, Youming}, title = {{Symbolic Determinant Identity Testing and Non-Commutative Ranks of Matrix Lie Algebras}}, booktitle = {13th Innovations in Theoretical Computer Science Conference (ITCS 2022)}, pages = {87:1--87:21}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-217-4}, ISSN = {1868-8969}, year = {2022}, volume = {215}, editor = {Braverman, Mark}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2022.87}, URN = {urn:nbn:de:0030-drops-156837}, doi = {10.4230/LIPIcs.ITCS.2022.87}, annote = {Keywords: derandomization, polynomial identity testing, symbolic determinant, non-commutative rank, Lie algebras} }