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Lie theory
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611	Week 4 (due April 30) Reading: Srednicky, sections 69, 70. See also a book by Howard Georgi, ”Lie algebras in particle physics”. 1. (a) (10 points) The complex symplectic group Sp(2N, C) is a complex subgroup of GL(2 Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2010-04-24 12:44:58 Symplectic group Differential geometry Abstract algebra Unitary group Orthogonal group Lie groups Symplectic geometry Differential topology
612	r-T&A2012Greene_SF__Layout[removed]:19 PM Page 136 Unlocking Minds by Jenny Greene and Jill Knapp T Add to Reading List Source URL: www.nea.org Language: English - Date: 2014-11-23 00:44:10 Ring theory Lie groups Representation theory Lie algebras Linear algebra Spectral theory Geometric algebra Abstract algebra Algebra Mathematics
613	2 The Trace Formula and Hecke Operators JAMES ARTHUR Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:08:58 Group theory Automorphic forms Modular forms Representation theory of Lie groups Representation theory Selberg trace formula Arthur–Selberg trace formula Induced representation Group action Abstract algebra Mathematical analysis Algebra
614	Can. J. Math., Vol. XXXVIII, No. 1, 1986, pp[removed]ON A FAMILY OF DISTRIBUTIONS OBTAINED FROM ORBITS Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:09 Representation theory of Lie groups Algebraic number field Weight Function XTR Deligne–Lusztig theory Arthur–Selberg trace formula Abstract algebra Algebra Mathematics
615	Week 1 (due April[removed]a) The complex symplectic group Sp(2N, C) is a complex subgroup of GL(2N, C) defined by the condition M t JM = J, where J is a block-offdiagonal matrix of the form 0 1 Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2014-04-04 13:52:00 Lie groups Connection Symplectic geometry Symplectic group Gauge theory Covariant derivative Unitary group Higgs mechanism Physics Theoretical physics Differential geometry
616	Annals of Mathematics, [removed]), 1-74 The trace formula in invariant form By JAMES ARTHUR* Introduction Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:02 Functional analysis Fourier analysis Lie groups Arthur–Selberg trace formula Lie algebra Convolution Distribution Representation theory Fourier transform Abstract algebra Mathematical analysis Algebra
617	CENTER FOR CAREER DEVELOPMENT YOUR ROADMAP TO CAREER SUCCESS By making career planning an ongoing objective, you will be better prepared to handle any obstacles that may lie ahead. Set aside time to focus on your career Add to Reading List Source URL: www.franklin.edu Language: English - Date: 2013-10-22 08:24:46 Neuropsychological assessment Neuroscience Employment Recruitment Mind Management Employability Critical thinking Decision making Decision theory
618	Electron. Commun. Probab[removed]), no. 14, 1–13. DOI: [removed]ECP.v17-1869 ISSN: 1083-589X ELECTRONIC COMMUNICATIONS Add to Reading List Source URL: www.cs.columbia.edu Language: English - Date: 2014-11-25 10:45:21 Linear algebra Exponentials Lie groups Chernoff bound Matrix exponential Normal distribution Trace Random matrix Moment-generating function Algebra Mathematics Matrix theory
619	27th Johns Hopkins Workshop on Current Problems in Particle Theory: Symmetries and Mysteries of M Theory PROCEEDINGS Cosmological billiards and oxidation Add to Reading List Source URL: www.pha.jhu.edu Language: English - Date: 2004-11-15 16:55:03 Physics Algebra Supersymmetry Euclidean geometry Root system Dilaton Supergravity E8 Vertex operator algebra Abstract algebra Lie algebras Lie groups
620	27th Johns Hopkins Workshop on Current Problems in Particle Theory: Symmetries and Mysteries of M Theory PROCEEDINGS Yangians and Kac-Moody Loop Algebras in Superconformal Gauge Theory Add to Reading List Source URL: www.pha.jhu.edu Language: English - Date: 2004-11-15 16:56:37 Symmetry Yangian Supergravity Gauge theory AdS/CFT correspondence Yang–Mills theory Conformal field theory Lie group Lie algebra Physics Theoretical physics Quantum field theory

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