Corradetti, DanieleAlessio Marrani2026-01-222026-01-222025-08-0697830320068519783032006868http://hdl.handle.net/10400.1/28170We introduce the concepts of linguistic transformation, linguistic loop and semantic deficit. By exploiting Lie group theoretical and geometric techniques, we define invariants that capture the structural properties of a whole linguistic loop. This result paves the way to a totally new line of research, employing tools from Lie theory and higher-dimensional geometry within language studies. But, even more intriguingly, our study hints to a mathematical characterization of the meta-linguistic or pre-verbal thought, namely of those cognitive structures that precede the language.engconference object10.1007/978-3-032-00686-8_11