Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 - Annals of Mathematics Studies 81 (Paperback)
  • Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 - Annals of Mathematics Studies 81 (Paperback)
zoom

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

(author)
£49.00
Paperback 104 Pages / Published: 01/07/1992
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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).

Publisher: Princeton University Press
ISBN: 9780691081540
Number of pages: 104
Weight: 170 g
Dimensions: 229 x 152 x 6 mm

You may also be interested in...

Free Lie Algebras
Added to basket
Division Algebras:
Added to basket
Schaum's Outline of Group Theory
Added to basket
Diversity and Complexity
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Molecular Symmetry and Group Theory
Added to basket
Introduction to Algebra
Added to basket
Essays in Group Theory
Added to basket

Please sign in to write a review

Your review has been submitted successfully.