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SUMMARY:Sergio López-Permouth (Ohio University\, USA)
DTSTART:20240108T150000Z
DTEND:20240108T160000Z
DTSTAMP:20260423T035638Z
UID:ENAAS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/51/">B
 asic Extension Modules (All bases are created equal\, but some are more eq
 ual than others)</a>\nby Sergio López-Permouth (Ohio University\, USA) as
  part of European Non-Associative Algebra Seminar\n\n\nAbstract\nWe report
  on ongoing research about a module-theoretic construction which\, when su
 ccessful\, yields natural extensions of infinite dimensional modules over 
 arbitrary algebras. Whether the construction works or not depends on the b
 asis that one chooses to carry on such a construction. Bases that work are
  said to be amenable. A natural example on which one may focus is when the
  module is the algebra itself. For instance\, a great deal of the work don
 e so far has focused on infinite dimensional algebra of polynomials on a s
 ingle variable. We will see that amenability and related notions serve to 
 classify the distinct bases according to interesting complementary propert
 ies having to do with the types of relations induced on them by the proper
 ties of their change-of-basis matrices.\n
LOCATION:https://researchseminars.org/talk/ENAAS/51/
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