Freeness and centralisers in free skew fields
Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness December 01, 2025 - December 05, 2025
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Freeness and centralisers in free skew fields
While a free associative algebra embeds into various non-isomorphic skew fields, one of them is universal, and called the free skew field. Its fundamental features were developed through a seminal work of P. M. Cohn and others. The aim of this talk is to both survey some of these results and present current developments, with an emphasis on freeness and centralizers in free skew fields. In particular, it is shown that a free skew field contains non-rational subfields, which is based on joint work with Harm Derksen.
Freeness and centralisers in free skew fields
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