کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598591 1631095 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Decomposition of complex hyperbolic isometries by involutions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Decomposition of complex hyperbolic isometries by involutions
چکیده انگلیسی

A k-reflection of the n  -dimensional complex hyperbolic space HCn is an element in U(n,1)U(n,1) with negative type eigenvalue λ  , |λ|=1|λ|=1, of multiplicity k+1k+1 and positive type eigenvalue 1 of multiplicity n−kn−k. We prove that a holomorphic isometry of HCn is a product of at most four involutions and a complex k  -reflection, k≤2k≤2. Along the way, we prove that every element in SU(n)SU(n) is a product of four or five involutions according as n≢2mod4 or n≡2mod4. We also give a short proof of the well-known result that every holomorphic isometry of HCn is a product of two anti-holomorphic involutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 500, 1 July 2016, Pages 63–76
نویسندگان
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