ALPERIN'S CONJECTURE FOR ALGEBRAIC GROUPS

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Alperin’s Conjecture for Algebraic Groups

We prove analogues for reductive algebraic groups of some results for finite groups due to Knörr and Robinson from ‘Some remarks on a conjecture of Alperin’, J. London Math. Soc (2) 39 (1989), 48–60, which play a central rôle in their reformulation of Alperin’s conjecture for finite groups.

متن کامل

The Grothendieck Conjecture on the Fundamental Groups of Algebraic Curves

The “Grothendieck Conjecture” in the title is, in a word, a conjecture to the effect that the arithmetic fundamental group of a hyperbolic algebraic curve completely determines the algebraic structure of the curve. Research concerning this problem was begun at the end of the 1980’s by the first author (Nakamura), given significant impetus (including the case of positive characteristic) by the s...

متن کامل

Embedding Differential Algebraic Groups in Algebraic Groups

Quantifier Elimination We work in K a large rich differentially closed field. All other differential fields are assumed to be small subfields of K. Let L = {+,−, ·, δ, 0, 1} be the language of differential rings. We let L− = {+,−, ·, 0, 1}, the language of rings. If k is a differential field, we can view k either as an L-structure or an L−-structure. Theorem 1.1 (Quantifier Elimination) For any...

متن کامل

Algebraic Groups

APPROACH We sketch a more abstract version of the proof of the smoothness of CG.H/. LEMMA 16.24. Let G and H be algebraic groups over k. Let R be a k-algebra, let R0 D R=I with I 2 D 0, and let 0 denote base change R! R0. The obstruction to lifting a homomorphism u0WH0!G0 to R is a class in H .H0;Lie.G0/ ̋I ); if the class is zero, then the set of lifts modulo the action of Ker.G.R/!G.R0// by co...

متن کامل

Universal Classes for Algebraic Groups

We exhibit cocycles representing certain classes in the cohomology of the algebraic group GLn with coefficients in the representation Γ(gl n ). These classes’ existence was anticipated by van der Kallen, and they intervene in the proof that reductive linear algebraic groups have finitely generated cohomology algebras [18]. Let k be a field of positive characteristic, let A be a finitely generat...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Quarterly Journal of Mathematics

سال: 2007

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qmath/ham043