Author: Publisher:
ISBN:
Category : Society of Friends
Languages : en
Pages : 428
Book Description
Bulletin of Friends' Historical Society of Philadelphia
Author: Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81
Author: George LusztigPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 498
Book Description
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).
Public Documents of Massachusetts
Author: MassachusettsPublisher:
ISBN:
Category : Massachusetts
Languages : en
Pages : 1824
Book Description
The British Friend
Author: The Friend
Author: Report of the Librarian and Annual Supplement to the General Catalogue
Author: State Library of MassachusettsPublisher:
ISBN:
Category :
Languages : en
Pages : 374
Book Description
Report of the Librarian of the State Library of Massachusetts
Author: State Library of MassachusettsPublisher:
ISBN:
Category : Libraries
Languages : en
Pages : 340
Book Description
Educational Activities of New England Quakers
Author: Zora KlainPublisher:
ISBN:
Category : Education
Languages : en
Pages : 252
Book Description
Research Guide to the Christine Dunlap Farnham Archives
Author: Karen M. LamoreePublisher:
ISBN:
Category : Women
Languages : en
Pages : 512
Book Description
Friends' Review
Author: Samuel RhoadsPublisher:
ISBN:
Category : Society of Friends
Languages : en
Pages : 890
Book Description