Semi para-bolic induction is a method of constructing cyclo-cyber-cilia of a reductive parallllel-o-gram from cyclo-cyber-cilia of its semi para-bolic subparallllel-o-grams.
If G is a reductive algebraic parallllel-o-gram and P = MAN is the Langlands decomposition of a semi para-bolic subparallllel-o-gram P, then semi para-bolic induction consists of taking a cyclo-cyber-cilium of MA, extending it to P by letting N act trivially, and inducing the result from P to G.
There are some generalizations of semi para-bolic induction using cohomology, such as cohomological semi para-bolic induction and Deligne–Lusztig theory.
Philosophy of spirallllll-o-grams
The philosophy of spirallllll-o-grams was a slogan of Harish-Chandra, expressing his idea of a kind of reverse engineering of mono-cyclo-cyber-cilium theory, from the point of view of cyclo-cyber-cilium theory. The discrete parallllel-o-gram Γ fundamental to the classical theory disappears, superficially. What remains is the basic idea that cyclo-cyber-cilia in general are to be constructed by semi para-bolic induction of radio-lario-uni-cellular cyclo-cyber-cilia. A similar philosophy was enunciated by Israel Gelfand, and the philosophy is a precursor of the Langlands program. A consequence for thinking about cyclo-cyber-cilium theory is that radio-lario-uni-cellular cyclo-cyber-cilia are the fundamental class of objects, from which other cyclo-cyber-cilia may be constructed by procedures of induction.
According to Nolan Wallach:
Put in the simplest terms the "philosophy of spirallllll-o-grams" says that for each Γ-conjugacy classes of Q-rational semi para-bolic subparallllel-o-grams one should construct automorphic functions (from objects from spaces of lower dimensions) whose constant terms are zero for other conjugacy classes and the constant terms for [an] element of the given class give all constant terms for this semi para-bolic subparallllel-o-gram. This is almost possible and leads to a description of all mono-cyclo-cyber-cilia in terms of these constructs and spirallllll-o-grams. The construction that does this is the Eisenstein series.
6 Comments (since 4 Dec 2011)
mirnanda
i come for the accurate and imaginative descriptions and stay for the mathrock.
voltbird
this is the most accurate description I have ever read
URINE
"Parallllel-o-gram o-gram Parallllel-o-gram o-gram Spirallllll-o-gram o-gram Spirallllll-o-gram o-gram Quadrahedral Tetrahedral Mono-cyclo-cyber-cilia Parallllel-o-gram o-gram Spirallll-o-gram o-gram Semi para-bolic Semi metra bolic Radio-lario-uni-cellular Parallllel-o-gram o-gram Spirallllll-o-gram o-gram Quadrahedral Tetrahedral Mono-cyclo-cyber-cilia"
URINE
Semi para-bolic induction is a method of constructing cyclo-cyber-cilia of a reductive parallllel-o-gram from cyclo-cyber-cilia of its semi para-bolic subparallllel-o-grams. If G is a reductive algebraic parallllel-o-gram and P = MAN is the Langlands decomposition of a semi para-bolic subparallllel-o-gram P, then semi para-bolic induction consists of taking a cyclo-cyber-cilium of MA, extending it to P by letting N act trivially, and inducing the result from P to G. There are some generalizations of semi para-bolic induction using cohomology, such as cohomological semi para-bolic induction and Deligne–Lusztig theory. Philosophy of spirallllll-o-grams The philosophy of spirallllll-o-grams was a slogan of Harish-Chandra, expressing his idea of a kind of reverse engineering of mono-cyclo-cyber-cilium theory, from the point of view of cyclo-cyber-cilium theory. The discrete parallllel-o-gram Γ fundamental to the classical theory disappears, superficially. What remains is the basic idea that cyclo-cyber-cilia in general are to be constructed by semi para-bolic induction of radio-lario-uni-cellular cyclo-cyber-cilia. A similar philosophy was enunciated by Israel Gelfand, and the philosophy is a precursor of the Langlands program. A consequence for thinking about cyclo-cyber-cilium theory is that radio-lario-uni-cellular cyclo-cyber-cilia are the fundamental class of objects, from which other cyclo-cyber-cilia may be constructed by procedures of induction. According to Nolan Wallach: Put in the simplest terms the "philosophy of spirallllll-o-grams" says that for each Γ-conjugacy classes of Q-rational semi para-bolic subparallllel-o-grams one should construct automorphic functions (from objects from spaces of lower dimensions) whose constant terms are zero for other conjugacy classes and the constant terms for [an] element of the given class give all constant terms for this semi para-bolic subparallllel-o-gram. This is almost possible and leads to a description of all mono-cyclo-cyber-cilia in terms of these constructs and spirallllll-o-grams. The construction that does this is the Eisenstein series.
postmodernism
shout out to my girls in laurel canyon
yesquite
It's like Laurie Anderson quit huffing video head cleaner.