A classification of unipotent spherical conjugacy classes in bad characteristic

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

A classification of unipotent spherical conjugacy classes in bad characteristic

Let G be a simple algebraic group over an algebraically closed field k of bad characteristic. We classify the spherical unipotent conjugacy classes of G. We also show that if the characteristic of k is 2, then the fixed point subgroup of every involutorial automorphism (involution) of G is a spherical subgroup of G.

متن کامل

From Conjugacy Classes in the Weyl Group to Unipotent Classes

Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes in G.

متن کامل

From Conjugacy Classes in the Weyl Group to Unipotent Classes, Ii

Let G be a connected reductive group over an algebraically closed field of characteristic p. In an earlier paper we defined a surjective map Φp from the set W of conjugacy classes in the Weyl group W to the set of unipotent classes in G. Here we prove three results for Φp. First we show that Φp has a canonical one-sided inverse. Next we show that Φ0 = rΦp for a unique map r. Finally, we constru...

متن کامل

Conjugacy classes of series in positive characteristic and Witt vectors

Let k be the algebraic closure of Fp and K be the local field of formal power series with coefficients in k. The aim of this paper is the description of the set Yn of conjugacy classes of series of order p for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic p which are invertible and of finite order p for the composition la...

متن کامل

From Conjugacy Classes in the Weyl Group to Unipotent Classes, Iii

Let G be an affine algebraic group over an algebraically closed field whose identity component G0 is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in G/G0 is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G0-conjugacy classes in D generalizing an earlier construction which applied wh...

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: Transactions of the American Mathematical Society

سال: 2012

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-2011-05390-0