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In mathematics, a Zuckerman functor is used to construct representations of real reductive Lie groups from representations of Levi subgroups. They were
Zuckerman_functor
American mathematician (born 1949)
Jay Zuckerman (born 1949) is a mathematician and professor at Yale University working in representation theory. He discovered Zuckerman functors and translation
Gregg_Zuckerman
functors were introduced independently by Zuckerman (1977) and Jantzen (1979). Roughly speaking, the functor is given by taking a tensor product with a
Translation_functor
Surname list
novelist Gregg Zuckerman (born 1949), American mathematician, Zuckerman functors Gregory Zuckerman (born 1966), American journalist Harriet Zuckerman (born 1937)
Zuckermann
Technique in mathematical group theory
is an analogue of the construction of Deligne and Lusztig, using Zuckerman functors to construct representations. The construction of Deligne-Lusztig
Deligne–Lusztig_theory
Type of group representation for locally compact groups
can also be constructed by cohomological parabolic induction using Zuckerman functors. Blattner's conjecture Holomorphic discrete series representation
Discrete series representation
Discrete_series_representation
German mathematician (born 1948)
Jacques Tits. In the late 1970s, Jantzen and Gregg Zuckerman independently introduced translation functors. In 1979, he introduced the Jantzen filtration
Jens_Carsten_Jantzen
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