The book intends to focus on Lie group representations in the quantum context for graduate students and researchers taking courses in theoretical physics. Special emphasis is given to the explanation of the topics like Lie group families, spinors, real symplectic groups coherent states, their representations and Lie groups acting on space-time.
The book intends to focus on Lie group representations in the quantum context for graduate students and researchers taking courses in theoretical physics. Special emphasis is given to the explanation of the topics like Lie group families, spinors, real symplectic groups coherent states, their representations and Lie groups acting on space-time.
1. Basic Group Theory and Representation Theory 2. The Symmetric Group 3. Rotations in 2 and 3 Dimensions, SU(2) 4. General Theory of Lie Groups and Lie Algebras 5. Compact Simple Lie Algebras - Classification and Irreducible Representations 6. Spinor Representations of the Orthogonal Groups 7. Properties of Some Reducible Group Representations, and Systems of Generalised Coherent States 8. Structure and some Properties and Applications of the Groups Sp(2n, R) 9. Wigner's Theorem, Ray Representations and Neutral Elements 10. Groups Related to Space-Time.
1. Basic Group Theory and Representation Theory 2. The Symmetric Group 3. Rotations in 2 and 3 Dimensions, SU(2) 4. General Theory of Lie Groups and Lie Algebras 5. Compact Simple Lie Algebras - Classification and Irreducible Representations 6. Spinor Representations of the Orthogonal Groups 7. Properties of Some Reducible Group Representations, and Systems of Generalised Coherent States 8. Structure and some Properties and Applications of the Groups Sp(2n, R) 9. Wigner's Theorem, Ray Representations and Neutral Elements 10. Groups Related to Space-Time.
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