principal series

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principal series

[′prin·sə·pəl ′sir·ēz]
(spectroscopy)
A series occurring in the line spectra of many atoms and ions with one, two, or three electrons in the outer shell, in which the total orbital angular momentum quantum number changes from 1 to 0.
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2 in [JL] tells that any irreducible admissible infinite-dimensional representation of G is isomorphic to some irreducible principal series representation of G as ([g.
v,d)]) be an irreducible principal series representation with v =([v.
v',d')]) be irreducible principal series representations of G with v =([v.
Authors Bruggeman, Lewis, and Zagier present students, academics, researchers, and professional mathematicians working in a wide variety of contexts with an examination of mixed parabolic cohomology gropus and semi-analytic vectors in principal series representation.

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