Abelian L-Adic Representations and Elliptic Curves (Advanced by Jean Pierre Serre PDF

By Jean Pierre Serre

ISBN-10: 0201093847

ISBN-13: 9780201093841

Show description

Read or Download Abelian L-Adic Representations and Elliptic Curves (Advanced Book Classics) PDF

Best group theory books

Download PDF by Al Ewing: Avengers 000 (2015)

The kickoff to the All-New AVENGERS line starts off the following, with new tales of the ALL-NEW, ALL-DIFFERENT AVENGERS, SQUADRON splendid, A-FORCE, NEW AVENGERS, ULTIMATES and UNCANNY AVENGERS! anyone is punctiliously learning the activities of the Avengers and people of their orbit-but do they suggest to hurt, or support?

Proceedings of the Second International Conference on The - download pdf or read online

This quantity involves papers offered to the second one foreign convention at the thought of teams held in Canberra in August 1973 including areport through the chairman of the Organizing Committee and a suite of difficulties. The manuscripts have been typed by way of Mrs Geary, the majority of the bibliographie paintings used to be performed by way of Mrs Pinkerton, and a couple of colleagues helped with proof-reading; Professor Neumann, Drs Cossey, Kovacs, MeDougall, Praeger, satisfaction, Rangaswamy and Stewart.

Download e-book for kindle: The Selberg-Arthur Trace Formula: Based on Lectures by James by Salahoddin Shokranian

This booklet in keeping with lectures given via James Arthur discusses the hint formulation of Selberg and Arthur. The emphasis is laid on Arthur's hint formulation for GL(r), with numerous examples so as to illustrate the fundamental recommendations. The ebook should be necessary and stimulating interpreting for graduate scholars in automorphic kinds, analytic quantity conception, and non-commutative harmonic research, in addition to researchers in those fields.

Additional info for Abelian L-Adic Representations and Elliptic Curves (Advanced Book Classics)

Example text

N S E G, X X E X (H» . = ---- n s (X ) for all (b ) n > 0 for e v e r y X E X (H) . X - The inj e c tivity of the map cP � e i s well -known (and doe s cP not depend on the c ommutativity of H) . T o p r ove s urj e c tivity , c on (i) s ider fir s t the c a s e whe r e e has the form e = � X e1 ) whe r e X Pr oof. is a full s e t of diffe r ent c onj ugat e s of a c har acte r X i s the s ubgr oup of G fixing X e = (* ) The fixe d field k X X � If G (X ) then s E G/ G (X ) o f G (X ) in X (H) .

X ) . l - ADIC R E PR E S E NT A T IONS i r r e ducible cha ra c te r s X of G generate a den s e sub spac e of Henc e the p r opo sition follows f r ozn leznzna 1. C (X) . - Let I-' be the Haa r zn ea sur e of G � I-' ( G) = l . Then a s e quenc e ( xn ) o f eleznent s o f X is I-' - e quidi stributed if and only if for any i r r e duc ible c ha racte r X of G , X f:. : X (x. ) n�CX) n i= l 1 = 0 This follow s frozn P rop . 2 and the following fact s : I-' ( X ) = 0 if X is i r r e duc ible f:.

Henc e , one of H the ac tion of � �A is th e g r oup alg ebra of G - h o m om o r ph i s m if A = A by linear ity , a homomorphism a : k[ X {H) ] whe r e k[X {H) ] let k be the k X {H) c an be identifie d with an H , and G X {H) ove r k . This is a is define d by s (�a X ) = �s (a ) s (X ) for a E k and X E X (H) . It is well - known X X X (line ar independenc e of cha r acte r s ) that a is inj e ctive . It is b ij e c tive if and only if H is a g r oup of multiplic ative type (cf. 1. 3 , re ­ mark 2 ) .

Download PDF sample

Abelian L-Adic Representations and Elliptic Curves (Advanced Book Classics) by Jean Pierre Serre


by John
4.3

Rated 4.29 of 5 – based on 18 votes