7,565 research outputs found
[Review of] Francis Paul Prucha, Indian-White Relations in the United States: A Bibliography of Works Published, 1975-1980
This volume is the long-awaited supplement to Francis Paul Prucha\u27s Bibliographical Guide to the History of Indian-White Relations in the United States, published by the University of Chicago Press in 1977. That work, which contained 9705 items, was complete to 1975. The supplement, with 3400 titles, covers the historical literature made available between 1975 and 1980. Organized into fifteen subject divisions and excellently cross-referenced with a thirty-six page index, the supplement continues the same high quality of Prucha\u27s previous efforts to bring some useable order to the bewildering complexity of American Indian historiography
Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
This paper concerns some novel features of maximal parabolic Eisenstein
series at certain special values of their analytic parameter s. These series
arise as coefficients in the R4 and D4R4 interactions in the low energy
expansion of scattering amplitudes in maximally supersymmetric string theory
reduced to D=10-d dimensions on a torus T^d, d<8. For each d these amplitudes
are automorphic functions on the rank d+1 symmetry group E_d+1. Of particular
significance is the orbit content of the Fourier modes of these series when
expanded in three different parabolic subgroups, corresponding to certain
limits of string theory. This is of interest in the classification of a variety
of instantons that correspond to minimal or next-to-minimal BPS orbits. In the
limit of decompactification from D to D+1 dimensions many such instantons are
related to charged 1/2-BPS or 1/4-BPS black holes with euclidean world-lines
wrapped around the large dimension. In a different limit the instantons give
nonperturbative corrections to string perturbation theory, while in a third
limit they describe nonperturbative contributions in eleven-dimensional
supergravity. A proof is given that these three distinct Fourier expansions
have certain vanishing coefficients that are expected from string theory. In
particular, the Eisenstein series for these special values of s have markedly
fewer Fourier coefficients than typical ones. The corresponding mathematics
involves showing that the wavefront sets of the Eisenstein series are supported
on only certain coadjoint nilpotent orbits - just the minimal and trivial
orbits in the 1/2-BPS case, and just the next-to-minimal, minimal and trivial
orbits in the 1/4-BPS case. Thus as a byproduct we demonstrate that the
next-to-minimal representations occur automorphically for E6, E7, and E8, and
hence the first two nontrivial low energy coefficients are exotic
theta-functions.Comment: v3: 127 pp. Minor changes. Final version to appear in the Special
Issue in honor of Professor Steve Ralli
Beethoven’s Path Toward Large-Scale Rhythmic Development: The Exposition of the First Movement of Opus 18, No.1
Prescription Drugs, Alternative Designs, and the Restatement (Third): Preliminary Reflections
[Review of] James Lafayette Glenn, My Work Among the Florida Seminoles
James Lafayette Glenn\u27s My Work among the Florida Seminoles is a memoir of his five-year tenure (1931-35) as United States agent to the Seminoles. Written in the mid-1940s as a long letter to his daughter, this document remained unpublished in the manuscript holdings of the Fort Lauderdale Historical Society until it was discovered and edited by Harry A. Kersey, the leading student of recent Seminole history
From Here to Attorney’s Fees: Certainty Efficiency and Fairness in the Journey to the Appellate Courts
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