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Quaternion group
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21	SERRE’S CONJECTURE II FOR CLASSICAL GROUPS OVER IMPERFECT FIELDS ´ GREGORY BERHUY, CHRISTOPH FRINGS, AND JEAN-PIERRE TIGNOL Add to Reading List Source URL: www.uclouvain.be Language: English - Date: 2014-02-09 15:33:58 Abstract algebra Clifford algebra Quaternion Orthogonal group Involution Sigma-algebra Algebra Quadratic forms Mathematics
22	Rational Interpolation of Rigid-Body Motions J.M. Selig 1 Interpolation in Groups Let g1 , g2 , . . . , gn be a sequence of elements of a Lie group, (knot points). Add to Reading List Source URL: phaven-prod.s3.amazonaws.com Language: English - Date: 2013-07-30 11:07:58 Quaternions Kinematics Group theory Dual quaternion Rotation matrix Rotation Quadric Vector space Algebra Mathematics Linear algebra
23	Multiview Registration via Graph Diffusion of Dual Quaternions Andrea Torsello, Emanuele Rodol`a, and Andrea Albarelli [removed] [removed] [removed] Dipartimento di Scienze Ambientali, Info Add to Reading List Source URL: phaven-prod.s3.amazonaws.com Language: English - Date: 2013-07-30 11:12:34 Geometry Dual quaternion Slerp Rotation group SO Quaternions and spatial rotation Quaternions Abstract algebra Algebra
24	Arthur Cayley and the First Paper on Group Theory David J. Pengelley Department of Mathematical Sciences New Mexico State University Las Cruces, NM 88003, USA March 23, 2004 Add to Reading List Source URL: sofia.nmsu.edu Language: English - Date: 2004-03-23 20:47:27 Octonion Quaternion Subgroup Arthur Cayley Cayley table Group Examples of groups Complex number Center Abstract algebra Algebra Group theory
25	REAL QUADRATIC FIELDS WITH ABELIAN 2-CLASS FIELD TOWER ELLIOT BENJAMIN DEPARTMENT OF MATHEMATICS UNITY COLLEGE, UNITY, ME[removed]AND Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-25 13:48:58 Class number formula Quadratic field Discriminant Ideal class group Field extension Quaternion algebra Genus field Algebraic number field Class field theory Abstract algebra Algebra Algebraic number theory
26	CONSTRUCTION OF HILBERT 2-CLASS FIELDS FRANZ LEMMERMEYER Abstract. Let F be a number field with odd class number, and suppose that k/F is a quadratic extension. We will deal with the problem of constructing parts of the Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:18 Quadratic field Hilbert class field Algebraic number field Ideal class group Splitting of prime ideals in Galois extensions Discriminant Reciprocity law Quaternion algebra Field extension Abstract algebra Algebra Algebraic number theory
27	THE 4-CLASS GROUP OF REAL QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. In this paper we give an elementary proof of results on the structure of 4-class groups of real quadratic number fields originally due to A. S Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:59 Mathematics Quadratic field Discriminant Quaternion algebra Splitting of prime ideals in Galois extensions Algebraic number field Quadratic reciprocity Ideal class group Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
28	POLISH JOURNAL OF PHILOSOPHY Vol. III, No. 2 (Fall 2009), [removed]Notes on Books Witold Wiszniewski, Time Change and Imaginary Numbers. From Hamilton to Einstein in Search for Understanding of the Imaginary Add to Reading List Source URL: www.pjp.edu.pl Language: English - Date: 2009-12-07 19:56:00 Philosophy of science Scientific method Group theory Number Complex number Imaginary number Quaternion Scientific theory Quantum mechanics Science Mathematics Dimension
29	Contents Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Introduction . . . . . . . . . . . . . . . . . . . . . . . . . Add to Reading List Source URL: www.ams.org Language: English - Date: 2013-05-30 09:14:56 Von Neumann algebra Brauer group Quaternion algebra Central simple algebra Algebra over a field Simple algebra Quaternion Algebras Ring theory Mathematics
30	Foreword Mathematics continually surprises and delights us with how useful its most abstract branches turn out to be in the real world. Indeed, physicist Eugene Wigner’s memorable phrase1 “The unreasonable eﬀective Add to Reading List Source URL: www.ams.org Language: English - Date: 2013-05-30 09:14:56 Ring theory Algebra over a field Non-associative algebra Division algebra Quaternion algebra Algebra homomorphism Brauer group Associative algebra Central simple algebra Abstract algebra Algebra Algebras

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