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Titlebook: Linear Algebra and Group Theory for Physicists; K. N. Srinivasa Rao Book 2006Latest edition Hindustan Book Agency 2006

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The Lorentz Group and its Representations,Lorentz transformations. If, for example, two inertial systems .(., ., .) and .′(.′, .′, .′) with respective time measures . and .′ are coincident at . = .′ = 0 and .′ moves with a uniform velocity (0, 0, .) along the common . − .′ axis with respect to . such that the . − .′ and . − .′ axes are respectively parallel.
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Elements of Group Theory,A . . is a collection of entities called . of the set. If . is an element belonging to the set ., we write . ∈ . (read . belongs to . or is contained in .). If it does not we write . ∉ .. Equivalently one also writes . ∋ . or . ∌ . for these relations.
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Some Related Algebraic Structures,Let . be an additive abelian group containing elements 0, ., ., ., …. It is called a . if it is also closed with respect to a second composition called . which is both associative and distributive. Thus, the elements of a ring . must, in addition to the axioms (1.2.1a) of Section 1.2, also satisfy the following requirements:
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Elements of Representation Theory,Let . be a group. A group . of square matrices of order . which is homomorphic to . is said to provide an .-dimensional . or a . of .. One usually calls it simply a . of .. Thus, if . → ., . → . under the mapping where ., . ∈ . and . . ∈ ., we demand that..
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Representations of the Symmetric Group,We consider in this chapter, the methods developed by Young and independently by Frobenius for the resolution into minimal ideals yielding irreducible representations of the Symmetric group ring Ω ≡ (., .).
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