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Paperback Discrete Series of Gln Over a Finite Field. (Am-81), Volume 81 Book

ISBN: 0691081549

ISBN13: 9780691081540

Discrete Series of Gln Over a Finite Field. (Am-81), Volume 81

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)...

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Related Subjects

Math Mathematics Science & Math

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