Stock Image

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

George Lusztig

0 ratings by Goodreads
ISBN 10: 0691081549 / ISBN 13: 9780691081540
Published by Princeton University Press
New Condition: New Soft cover
From THE SAINT BOOKSTORE (Southport, United Kingdom)

AbeBooks Seller Since 14 June 2006 Seller Rating 5-star rating

Quantity Available: 1

Buy New
Price: 48.96 Convert Currency
Shipping: 6.94 From United Kingdom to U.S.A. Destination, rates & speeds
Add to basket

About this Item

New copy - Usually dispatched within 2 working days. Bookseller Inventory # B9780691081540

Ask Seller a Question

Bibliographic Details

Title: Discrete Series of GLn Over a Finite Field. ...

Publisher: Princeton University Press

Binding: Paperback / softback

Book Condition: New

About this title


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).

"About this title" may belong to another edition of this title.

Store Description

The Saint Bookstore has a range of over 1 million titles available.

Visit Seller's Storefront

Terms of Sale:

Please order through the Abebooks checkout. We only take orders through Abebooks - We don't take direct orders by email or phone.

Refunds or Returns: A full refund of the purchase price will be given if returned within 30 days in undamaged condition.

As a seller on abebooks we adhere to the terms explained at - if you require further assistance please email us at

Shipping Terms:

Most orders usually ship within 1-3 business days, but some can take up to 7 days.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express