First Baptist Church, Fall River, Mass., 1781-1881
First Baptist Church, Fall River, Mass., 1781-1881

Author: First Baptist Church Of Fall River

Publisher: Forgotten Books

Published: 2018-03-22

Total Pages: 50

ISBN-13: 9780365245742

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Excerpt from First Baptist Church, Fall River, Mass., 1781-1881: Centennial Anniversary, Feb. 15, 1881 The memor1al of this text was to commemorate Israel's starting toward their promised home. The Sprinkled blood, the seven davs' feast, was to mark a perpetual memorial, throughout all their generations, each year. But. The memorial to which we now come has but one place, in the lono'er year of ten decades. Once approaching it, must be, to us, for the first and last time. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81
Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81

Author: George Lusztig

Publisher:

Published: 1989

Total Pages: 498

ISBN-13:

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In this book Professor Lusztig solves an interesting problem by entirely new methods: specifically, the use of cohomology of buildings and related complexes. The book gives an explicit construction of one distinguished member, D(V), of the discrete series of GLn (Fq), where V is the n-dimensional F-vector space on which GLn(Fq) acts. This is a p-adic representation; more precisely D(V) is a free module of rank (q--1) (q2—1)...(qn-1—1) over the ring of Witt vectors WF of F. In Chapter 1 the author studies the homology of partially ordered sets, and proves some vanishing theorems for the homology of some partially ordered sets associated to geometric structures. Chapter 2 is a study of the representation △ of the affine group over a finite field. In Chapter 3 D(V) is defined, and its restriction to parabolic subgroups is determined. In Chapter 4 the author computes the character of D(V), and shows how to obtain other members of the discrete series by applying Galois automorphisms to D(V). Applications are in Chapter 5. As one of the main applications of his study the author gives a precise analysis of a Brauer lifting of the standard representation of GLn(Fq).