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Teacher
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FRANCESCHINI ROBERTO
(syllabus)
Group Theory (CA)
SU(2) and SU(3)
The Killing Form
Simple Lie Algebras
Representations
Simple Roots and the Cartan Matrix
The Classical Lie Algebras
The Exceptional Lie Algebras
Casimir Operators and Freudenthal’s Formula
The Weyl Group
Weyl’s Dimension Formula
Reducing Product Representations
Subalgebras
Branching Rules
Numerical Methods
Refresh on Probability and Random variables
Refresh on Measurement, uncertainty and its propagation
Refresh on Curve-fitting, least-squares, optimization
Classical numerical integration, speed of convergence
Integration MC (Mean, variance)
Sampling Strategies
Applications
Propagation of uncertainties
Generation according to a distribution
Sections of the textbooks for each topic are listed on http://webusers.fis.uniroma3.it/franceschini/cmm.html
(reference books)
Robert Cahn - Semi-Simple Lie Algebras and Their Representations - Dover Publications 2014 (available at Roma TRE BAST Sede Centrale and from the author's web page )
Weinzierl, S. - Introduction to Monte Carlo methods arXiv:hep-ph/0006269
Taylor, J. - An introduction to error analysis - University Science Books Sausalito, California Disponibile nella biblioteca Scientifica di Roma Tre
Dubi, A. - Monte Carlo applications in systems engineering - Wiley Disponibile nella biblioteca Scientifica di Roma Tre
readings supplied during class and listed on the web http://webusers.fis.uniroma3.it/franceschini/cmm.html
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Università Roma Tre