Google full text of our books:


Discrete Series of GLn Over a Finite Field. (AM-81)
George Lusztig

Paperback | 1974 | $60.00 | £41.95 | ISBN: 9780691081540
104 pp. | 6 x 9
Add to Shopping Cart

eBook | ISBN: 9781400881765 |
Our eBook editions are available from these online vendors

Google full text of this book:

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).

Another Princeton book authored or coauthored by George Lusztig:


Subject Area:


Shopping Cart:

  • For ebooks:

When this eBook becomes available, we will provide direct links to buy it. Until then,
check pre-order availability at these e-tailer sites by copying and pasting the eISBN

For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

 Paperback : $60.00 ISBN: 9780691081540

Add to shopping cart
View contents of your shopping cart

For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

 Paperback : £41.95 ISBN: 9780691081540

Add to shopping cart
View contents of your shopping cart

Prices subject to change without notice

File created: 2/8/2016

Questions and comments to:
Princeton University Press

New Book E-mails
New In Print
PUP Blog
Princeton APPS
Sample Chapters
Princeton Legacy Library
Exam/Desk Copy
Recent Awards
Princeton Shorts
Freshman Reading
PUP Europe
About Us
Contact Us
PUP Home

Bookmark and Share
Send me emails
about new books in:
More Choices