principal series

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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References in periodicals archive ?
We call ([[PI].sub.(v,d)], [H.sub.(v,d)) a principal series representation of G.
Theorem 6.2 in [JL] tells that any irreducible admissible infinite-dimensional representation of G is isomorphic to some irreducible principal series representation of G as ([g.sub.C], K)-modules.
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.
(4) The principal series {[n.sup.[+ or -].sub.it]: t [member of] R}.
Raja Changez Sultan is an artist of unique vision and for the past thirty years he has focused his creative energies on his two principal series, the Divided Self and the Himalayan Odyssey.
Other topics include algebras of functions on compact quantum groups, quantum vector spaces and Harish-Chandra modules, the canonical embedding, and boundaries and spherical principal series.
In his Principal to Principal series of books, Wallace has taken an anecdotal approach to presenting real-life school realities to help educational leaders better understand issues that need addressing.
In addition to online discussions of the authors of the principal series of the Stratemeyer Syndicate, Keeline has compiled a fascinating checklist of McFarlane's writings in many genres.
1 Enrica Follieri & Oliver Strunk, Triodium Athoum [TA] ('Monumenta musicae Byzantinae [MMB]: Principal Series', ix), Copenhagen, 1975, Pars suppletoria, p.
In this note we treat degenerate spherical principal series representations [pi] = I([lambda]) of G and [pi]' = J(v) of G' for the pair of higher real rank groups
Raja Changez Sultan embodies a unique vision and for the past thirty years he has focused his creative energies on his two principal series, the Divided Self and the Himalayan Odyssey.
He presents more advanced materials for self-study, including parabolic versions of Category O, projective functors and principal series, tilting modules, twisting and completion functors, and complements.

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