ISBN: 9780691081540

ID: 1993442202

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). Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 Buch (fremdspr.) Taschenbuch 21.10.1974 Bücher>Fremdsprachige Bücher>Englische Bücher, Princeton University Press, .197

Orellfuessli.ch No. 6260362. Shipping costs:Zzgl. Versandkosten. (EUR 16.30) Details... |

ISBN: 9780691081540

[ED: Taschenbuch], [PU: Princeton University Press], 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). 104 pages Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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ISBN: 9780691081540

ID: 2004249247

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) (q21)...(qn-11) 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). Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 Buch (fremdspr.) Taschenbuch 21.10.1974 Bücher>Fremdsprachige Bücher>Englische Bücher, University Presses, .197

Orellfuessli.ch No. 6260362. Shipping costs:Geen verzending naar uw bestemming., plus shipping costs Details... |

ISBN: 9780691081540

ID: 2684321

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) (q21)...(qn-11) 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). Mathematics Mathematics eBook, Princeton University Press

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lehmanns.de Shipping costs:Versand in 10-15 Tagen, , Versandkostenfrei innerhalb der BRD. (EUR 0.00) Details... |

ISBN: 9780691081540

ID: 1993442202

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 co… More...

No. 6260362. Shipping costs:Zzgl. Versandkosten. (EUR 16.30)

ISBN: 9780691081540

[ED: Taschenbuch], [PU: Princeton University Press], In this book Professor Lusztig solves an interesting problem by entirely new methods: specifically, the use of cohomology of buildings… More...

Shipping costs:Versandkostenfrei, Versand nach Deutschland. (EUR 0.00)

## ISBN: 9780691081540

ID: 2004249247

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 co… More...

No. 6260362. Shipping costs:Geen verzending naar uw bestemming., plus shipping costs

ISBN: 9780691081540

ID: 2684321

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 c… More...

Shipping costs:zzgl. Versandkosten., plus shipping costs

1974, ISBN: 9780691081540

ID: 3692714

Softcover, Buch, [PU: Princeton University Press]

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** Details of the book - Discrete Series of GLn Over a Finite Field. (AM-81) (Annals of Mathematics Studies)**

EAN (ISBN-13): 9780691081540

ISBN (ISBN-10): 0691081549

Paperback

Publishing year: 1974

Publisher: PRINCETON UNIV PR

108 Pages

Weight: 0,136 kg

Language: eng/Englisch

Book in our database since 2008-05-05T07:00:17-04:00 (New York)

Detail page last modified on 2019-09-13T12:13:01-04:00 (New York)

ISBN/EAN: 0691081549

ISBN - alternate spelling:

0-691-08154-9, 978-0-691-08154-0

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