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A Constructive Proof Of The Borel-Weil Theorem For Classical Groups, Kostiantyn Timchenko
A Constructive Proof Of The Borel-Weil Theorem For Classical Groups, Kostiantyn Timchenko
Electronic Theses and Dissertations
The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ and $Sp(2n)$, the Borel-Weil construction can be used to quite explicitly prove existence of an irreducible representation having highest weight $\lambda$, for each dominant integral form $\lambda$ on the Lie algebra of a maximal torus of $G$.
Settling And Laying Down: A Cultural History Of Quakers In Savannah And Statesboro, Georgia, Jonathan Hoyt Harwell
Settling And Laying Down: A Cultural History Of Quakers In Savannah And Statesboro, Georgia, Jonathan Hoyt Harwell
Electronic Theses and Dissertations
This descriptive cultural history follows a hybrid methodology often applied to ethno-histories. This approach combines archival research, oral history, and ethnography, with reflexive aspects. I explore some similarities and differences between two Quaker meetings in Southeast Georgia, the small but growing urban meeting in Savannah and a discontinued rural one in the small college town of Statesboro (that sometimes met in the village of Guyton). These case studies of local and personal histories, combined with my observations as a participant in the life of the community, are designed to illuminate fine details of Quaker culture in the recent Deep South.
An Archaeological Examination Of A Family Cemetery In The South Carolina Low Country, Brian Mitchell Milner
An Archaeological Examination Of A Family Cemetery In The South Carolina Low Country, Brian Mitchell Milner
Electronic Theses and Dissertations
Over the past eleven years excavations have been conducted at nineteenth century rice plantation near Coosawhatchie, South Carolina. This site has yielded an amazing assortment of artifacts as well as multiple structures associated with plantation life in the Antebellum South. It was during the course of this work that a long forgotten family cemetery was relocated. This paper details the process of excavation and locating of the cemetery, analysis of artifacts recovered, and the determination of the use of the area as that of a place of interment.
Right Reverend Stephen Elliott: Political Influence And The Protestant Episcopal Church In Georgia, 1840-1866, Paulette S. Thompson
Right Reverend Stephen Elliott: Political Influence And The Protestant Episcopal Church In Georgia, 1840-1866, Paulette S. Thompson
Electronic Theses and Dissertations
By the late 1840's, the South's religious and political convictions upheld slaveholders' social and economic views. These convictions permeated worship services in Georgia via the ministries. At the onset of the Civil War, spirituality provided an essential source of Southern strength in both victory and defeat. As fortitude subsided, religion also played a prodigious role in perpetuating the Confederate experience. For a generation, its theology had endorsed the South's social arrangement, asserted the morality of slavery, expunged Southern sins, and recruited the populace as God's devout guardians of the institution. Sustained by the belief that they were God's chosen people, …