Introduction to Groups, Invariants and Particles free ebook download.

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Introduction to Groups, Invariants and Particles free ebook download

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Mathematics

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Author(s):	Frank W. K. Firk

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	1499273363
Pages:	160	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	6/12/2024 9:52:29 AM

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1499273363 pdf
Group Theory, with its emphasis on Lie Groups and their application to the study of symmetries of the fundamental constituents of matter is introduced at a level suitable for Seniors and advanced Juniors majoring in the Physical Sciences. The book has its origin in a one-semester course that Professor Firk taught at Yale University for more than ten years. It is not generally appreciated by Physicists that continuous transformation groups (Lie Groups) originated in the Theory of Differential Equations. The infinitesimal generators of Lie Groups therefore have forms that involve differential operators and their commutators, and these operators and their algebraic properties have found, and continue to find, a natural place in the development of Quantum Physics. Topics covered include: Galois Groups Algebraic Invariants Invariants of Physics Groups  Concrete and Abstract Lies Differential Equation Lies Continuous Transformation Groups Matrix Representations of Groups Lie Groups of Transformations Group Structure of Lorentz Transformations Groups and the Structure of Matter Lie Groups and the Conservation Laws of the Physical Universe
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Tags: Groups Introduction Invariants Particles

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