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SUMMARY:Shahn Majid (Queen Mary University of London\, UK)
DTSTART:20220329T160000Z
DTEND:20220329T170000Z
DTSTAMP:20260423T021413Z
UID:ONCAS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ONCAS/16/">Q
 uantum jet bundles</a>\nby Shahn Majid (Queen Mary University of London\, 
 UK) as part of ONCAS Online Noncommutative Algebra Seminar\n\n\nAbstract\n
 We formulate a notion of jet bundles over a possibly noncommutative algebr
 a \nA equipped with a torsion free connection. Among the conditions needed
  for 3rd-order jets and above is that the connection also be flat and its 
 `generalised braiding tensor' σ:Ω1⊗AΩ1→Ω1⊗AΩ1 obey the Yang-Bax
 ter equation or braid relations. We also cover the case of jet bundles of 
 a given `vector bundle' over A in the form of a bimodule E with flat bimod
 ule connection with its braiding σEobeying the coloured braid relations. 
 Examples include the permutation group S3 with its 2-cycles calculus\, M2(
 ℂ) and the bicrossproduct model quantum spacetime in two dimensions.\n
LOCATION:https://researchseminars.org/talk/ONCAS/16/
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