@InProceedings{arvind_et_al:LIPIcs.ITCS.2023.6, author = {Arvind, V. and Chatterjee, Abhranil and Ghosal, Utsab and Mukhopadhyay, Partha and Ramya, C.}, title = {{On Identity Testing and Noncommutative Rank Computation over the Free Skew Field}}, booktitle = {14th Innovations in Theoretical Computer Science Conference (ITCS 2023)}, pages = {6:1--6:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-263-1}, ISSN = {1868-8969}, year = {2023}, volume = {251}, editor = {Tauman Kalai, Yael}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2023.6}, URN = {urn:nbn:de:0030-drops-175093}, doi = {10.4230/LIPIcs.ITCS.2023.6}, annote = {Keywords: Algebraic Complexity, Identity Testing, Non-commutative rank} }