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Algebra Seminar

Higher norm principles for norm varieties

Shira Gilat (Universiteit Antwerpen)

Location:  Room 425
Date & time: Wednesday, 22 January 2020 at 2:00PM - 3:00PM

Abstract: The norm principle for a division algebra states that the image of the reduced norm is an invariant of its Brauer-equivalence class. This can be generalized to symbols in \(K^M_1(F)\) the Milnor K-group. We prove a generalized norm principle for symbols in \(K^M_n(F)\) for a prime-to-\(p\) closed field \(F\) of characteristic zero (for some prime \(p\)).  We also give a new proof for the norm principle of division algebra, by decomposition theorem for (noncommutative) polynomials over the algebra.