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SUMMARY:Simplicity in bounded skew-power series rings. - Adam Jones\, Univ
 ersity of Cambridge
DTSTART:20241204T163000Z
DTEND:20241204T173000Z
UID:TALK224689@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:The notion of a skew-power series ring is not\, in general\, w
 ell-defined for an abstract ring\, and it is not necessarily unique\, it r
 equires the coefficient ring R and the skew derivation (\\sigma\,\\delta) 
 to satisfy appropriate topological considerations. In this talk\, I will e
 xplore a specific notion of a bounded skew-power series ring R^+[[x\;\\sig
 ma\,\\delta]]\, illustrating why this notion is universal\, and describing
  recent results which highlight algebraic properties of this structure\, n
 amely when it is a prime or even simple ring. These results are useful whe
 n studying the representation theory of a solvable\, compact p-adic Lie gr
 oup G\, since the associated Iwasawa algebra \\Omega(G) arises as a skew p
 ower series ring\, and our results go some way towards classifying the pri
 me ideals in this algebra. This is joint work with William Woods.
LOCATION:MR12
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