کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414768 1630515 2014 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Curtis-Tits groups generalizing Kac-Moody groups of type A˜n−1
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Curtis-Tits groups generalizing Kac-Moody groups of type A˜n−1
چکیده انگلیسی

In [13] we define a Curtis-Tits group as a certain generalization of a Kac-Moody group. We distinguish between orientable and non-orientable Curtis-Tits groups and identify all orientable Curtis-Tits groups as Kac-Moody groups associated to twin-buildings.In the present paper we construct all orientable as well as non-orientable Curtis-Tits groups with diagram A˜n−1 (n⩾4) over a field k of size at least 4. The resulting groups are quite interesting in their own right. The orientable ones are related to Drinfeldʼs construction of vector bundles over a non-commutative projective line and to the classical groups over cyclic algebras. The non-orientable ones are related to expander graphs [14] and have symplectic, orthogonal and unitary groups as quotients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 399, 1 February 2014, Pages 978-1012
نویسندگان
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