group representations
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1—10 of 21 matching pages
1: 15.17 Mathematical Applications
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§15.17(iii) Group Representations
…2: Morris Newman
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►Newman wrote the book Matrix Representations of Groups, published by the National Bureau of Standards in 1968, and the book Integral Matrices, published by Academic Press in 1972, which became a classic.
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3: 21.10 Methods of Computation
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4: 13.27 Mathematical Applications
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►Confluent hypergeometric functions are connected with representations of the group of third-order triangular matrices.
…Vilenkin (1968, Chapter 8) constructs irreducible representations of this group, in which the diagonal matrices correspond to operators of multiplication by an exponential function.
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5: Bibliography Z
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Generalized Watson Transforms and Applications to Group Representations.
Ph.D. Thesis, University of Vermont, Burlington,VT.
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6: 18.38 Mathematical Applications
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Group Representations
…7: Bibliography V
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Representation of Lie Groups and Special Functions. Volume 1: Simplest Lie Groups, Special Functions and Integral Transforms.
Mathematics and its Applications (Soviet Series), Vol. 72, Kluwer Academic Publishers Group, Dordrecht.
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Representation of Lie Groups and Special Functions. Volume 3: Classical and Quantum Groups and Special Functions.
Mathematics and its Applications (Soviet Series), Vol. 75, Kluwer Academic Publishers Group, Dordrecht.
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Representation of Lie Groups and Special Functions. Volume 2: Class I Representations, Special Functions, and Integral Transforms.
Mathematics and its Applications (Soviet Series), Vol. 74, Kluwer Academic Publishers Group, Dordrecht.
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Special Functions and the Theory of Group Representations.
American Mathematical Society, Providence, RI.
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8: 16.24 Physical Applications
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►The symbols, or Clebsch–Gordan coefficients, play an important role in the decomposition of reducible representations of the rotation group into irreducible representations.
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9: Bibliography S
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The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.
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10: Bibliography P
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A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
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