Normed division algebra

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1Algebras / Quaternion / Division algebra / Complex number / William Rowan Hamilton / Normed division algebra / Number / Vector space / Space / Algebra / Abstract algebra / Mathematics

MY FAVORITE NUMBERS: John Baez September 17, 2008 The Rankin Lectures Supported by the Glasgow Mathematical Journal Trust

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Source URL: math.ucr.edu

Language: English - Date: 2008-09-12 01:55:53
2Linear algebra / Functional analysis / General topology / Mathematical structures / Topological vector space / Quotient space / Vector space / Compact space / Locally convex topological vector space / Topology / Algebra / Mathematics

The purpose of this note is to give a proof of the fact that finite dimensional topological vectorspaces (over a complete normed division ring) have only one possible topology, as well as related facts, such as a locally compact tvs is necessarily finite dimensional. Many of these facts can be found in Paul Garrett’s notes

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Source URL: www.math.umn.edu

Language: English - Date: 2004-11-30 18:22:49
3Division algebra / Associative algebra / Normed division algebra / Vector space / Quaternion algebra / Operator / Hilbert space / Inner product space / Banach algebra / Abstract algebra / Mathematics / Algebras

MA THEMA TICS: F. B. WRIGHT 330

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Source URL: www.ncbi.nlm.nih.gov

Language: English
4Ring theory / Octonion / Non-associative algebra / Cayley–Dickson construction / Division algebra / Normed division algebra / Quaternion / Jordan algebra / Albert algebra / Abstract algebra / Algebras / Hypercomplex numbers

The Octonions John C. Baez Department of Mathematics

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Source URL: math.ucr.edu

Language: English - Date: 2012-12-18 20:06:40
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