Discrete Series of GLn Over a Finite Field

Explore the groundbreaking work of Professor Lusztig in "Discrete Series of GLn Over a Finite Field," published by Princeton University Press in 1974. This insightful paperback, spanning 104 pages, delves into innovative methods for solving complex problems in the realm of mathematics. Professor Lusztig employs cohomology of buildings and related complexes to provide an explicit construction of a distinguished member, D(V), of the discrete series of GLn(Fq). Here, V represents the n-dimensional F-vector space upon which GLn(Fq) acts. This book is an essential read for those interested in advanced mathematical concepts and their applications in finite fields. Enhance your understanding of discrete series and the intricate relationships within linear algebra by adding this significant work to your collection.