کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425597 1633820 2015 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete approximations for complex Kac-Moody groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Discrete approximations for complex Kac-Moody groups
چکیده انگلیسی

We construct a map from the classifying space of a discrete Kac-Moody group over the algebraic closure of the field with p elements to the classifying space of a complex topological Kac-Moody group and prove that it is a homology equivalence at primes q different from p. This generalizes a classical result of Quillen, Friedlander and Mislin for Lie groups. As an application, we construct unstable Adams operations for general Kac-Moody groups compatible with the Frobenius homomorphism. Our results rely on new integral homology decompositions for certain infinite dimensional unipotent subgroups of discrete Kac-Moody groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 268, 2 January 2015, Pages 159-200
نویسندگان
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