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Nineteenth Century Short Title Catalogue Extracted from the Catalogues of the Bodleian Library, the British Library, the Library of Trinity College (Dublin), the National Library of Scotland, and the University Libraries of Cambridge and Newcastle: Phase 1: 1816-1870. v.15. Fort - Fyv and Indexes for volumes 11-15. v.20. Hor-Hunt, W. R. and Indexes for v. 16-20. v.21. Hunten-Jero. v.22. Jerp-Kief. v.23. Kieg-Lecom. v.24. Lecon-Lorc. v.25. Lord-Maccaul and Indexes for volumes 21-25

Published: 1984

Total Pages: 618


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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).
The Encyclopedia of Organ includes articles on the organ family of instruments, including famous players, composers, instrument builders, the construction of the instruments, and related terminology. It is the first complete A-Z reference on this important family of keyboard instruments. The contributors include major scholars of music and musical instrument history from around the world.