The Discrete Series Of Gln Over A Finite Field PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Discrete Series Of Gln Over A Finite Field PDF full book. Access full book title The Discrete Series Of Gln Over A Finite Field.
Author | : George Lusztig |
Publisher | : Princeton University Press |
Total Pages | : 112 |
Release | : 1974-10-21 |
Genre | : Mathematics |
ISBN | : 9780691081540 |
Download The Discrete Series of GLn Over a Finite Field Book in PDF, ePub and Kindle
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).
Author | : George Lusztig |
Publisher | : |
Total Pages | : 99 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download The Discrete Series of GL(n) Over a Finite Field Book in PDF, ePub and Kindle
Author | : George Lusztig |
Publisher | : |
Total Pages | : 99 |
Release | : 1940 |
Genre | : Algebraic fields |
ISBN | : 9780691081458 |
Download The Discrete Series of GLn Over a Finite Field Book in PDF, ePub and Kindle
Author | : George Lusztig |
Publisher | : Princeton University Press |
Total Pages | : 104 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400881765 |
Download Discrete Series of GLn Over a Finite Field. (AM-81), Volume 81 Book in PDF, ePub and Kindle
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).
Author | : Hsio-Fu Tuan |
Publisher | : Springer |
Total Pages | : 409 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540397930 |
Download Group Theory Book in PDF, ePub and Kindle
Author | : L.G. Kovacs |
Publisher | : Springer |
Total Pages | : 209 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540469001 |
Download Groups - Canberra 1989 Book in PDF, ePub and Kindle
Author | : Mariagrazia Bianchi |
Publisher | : World Scientific |
Total Pages | : 416 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814350052 |
Download Ischia Group Theory 2010 Book in PDF, ePub and Kindle
Positive laws on generators in powerful pro-p groups / C. Acciarri and G.A. Fernandez-Alcober -- Periodic groups saturated by dihedral subgroups / B. Amberg and L. Kazarin -- A note on finite groups in which the conjugacy class sizes form an arithmetic progression / M. Bianchi, A. Gillio and P.P. Palfy -- A survey of recent progress on non-abelian tensor squares of groups / R.D. Blyth, F. Fumagalli and M. Morigi -- Conjugacy classes of subgroups of finite p-groups: the first gap / R. Brandl -- The Tutte polynomial of the Schreier graphs of the Grigorchuck group and the Basilica group / T. Ceccherini-Silberstein, A. Donno and D. Iacono -- On maximal subgroups of the alternating and symmetric groups / V. Colombo -- Markov's problems through the looking glass of Zariski and Markov topologies / D. Dikranjan and D. Toller -- Linear groups with finite dimensional orbits / M.R. Dixon, L.A. Kurdachenko and J. Otal -- Three-dimensional loops as sections in a four-dimensional solvable Lie group / A. Figula -- A note on finite p-groups with a maximal elementary subgroup of rank 2 / G. Glauberman -- Finitely generated free by C[symbol] pro-p groups / W. Herfort and P.A. Zalesskii -- Finite nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M[symbol] / Z. Janko -- Twisted conjugacy in certain Artin groups / A. Juhasz -- Applications of Clifford's theorem to Frobenius groups of automorphisms / E.I. Khukhro -- Inducing [symbol]-partial characters with a given vertex / M.L. Lewis -- Groups and Lie rings with Frobenius groups of automorphisms / N. Yu. Makarenko -- On integral representations of finite groups / D. Malinin -- On p-groups of small powerful class / A. Mann -- Lifting (2, k)-generators of linear groups / A. Maroti and C. Tamburini Bellani -- Fixed point subgroups and character tables / G. Navarro -- Permutability and seriality in locally finite groups / D.J.S. Robinson -- On the exponent of a finite group with a four-group of automorphisms / E. Romano and P. Shumyatsky -- Examples of Markov chains on spaces with multiplicities / F. Scarabotti and F. Tolli -- On the order and the element orders of finite groups: results and problems / W.J. Shi -- On local finiteness of verbal subgroups in residually finite groups / P. Shumyatsky -- The adjoint group of radical rings and related questions / Ya. P. Sysak -- On the Gorenstein dimension of soluble groups / O. Talelli -- Decomposition numbers for projective modules of finite Chevalley groups / A.E. Zalesski
Author | : Peter Abramenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 758 |
Release | : 2008-12-16 |
Genre | : Mathematics |
ISBN | : 0387788352 |
Download Buildings Book in PDF, ePub and Kindle
This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
Author | : Louis J. Billera |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 1999-09-28 |
Genre | : Mathematics |
ISBN | : 9780521770873 |
Download New Perspectives in Algebraic Combinatorics Book in PDF, ePub and Kindle
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
Author | : D. J. Benson |
Publisher | : Cambridge University Press |
Total Pages | : 296 |
Release | : 1991-08-22 |
Genre | : Mathematics |
ISBN | : 9780521636520 |
Download Representations and Cohomology: Volume 2, Cohomology of Groups and Modules Book in PDF, ePub and Kindle
A further introduction to modern developments in the representation theory of finite groups and associative algebras.