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SUMMARY:David Vogan (MIT)
DTSTART:20220428T143000Z
DTEND:20220428T160000Z
DTSTAMP:20260422T150459Z
UID:atlas/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/atlas/17/">R
 eal parabolic subgroups and induction in atlas</a>\nby David Vogan (MIT) a
 s part of Real reductive groups/atlas\n\n\nAbstract\nThe oldest constructi
 on of irreducible unitary representactions of a real reductive group G(R) 
 is unitary induction from a real parabolic subgroup P(R). A bit more preci
 sely\, P(R) has a well-defined normal subgroup U(R)\, the unipotent radica
 l\; and the quotient L(R) = P(R)/U(R) is again a real reductive group. "Re
 al parabolic induction" means starting with an irreducible unitary represe
 ntation pi_L of L(R)\, lifting it to P(R) by making U(R) act trivially\, t
 hen applying Mackey induction from P(R) to G(R).\n\nOf course atlas lives 
 in the rather different world of (g\, K)-modules. I'll explain a bit about
  how to translate between these two worlds\, and what atlas can tell you a
 bout real parabolic induction.\n
LOCATION:https://researchseminars.org/talk/atlas/17/
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