THE CLASSICAL GROUPS. SPECTRAL ANALYSIS OF THEIR FINITE-DIMENSIONAL REPRESENTATIONS
1962; IOP Publishing; Volume: 17; Issue: 1 Linguagem: Inglês
10.1070/rm1962v017n01abeh001123
ISSN1473-2009
Autores Tópico(s)Advanced Scientific Research Methods
ResumoCONTENTSIntroductionPart I. Description of the irreducible representations § 1. Elements of the general theory § 2. The Gauss decomposition § 3. The Lorentz group and the group of rotations of three-dimensional euclidean space § 4. The full linear group § 5. Differential operators on the group Z § 6. The space of irreducible representations § 7. The symplectic group § 8. The orthogonal group § 9. Binary decompositions; symmetric powers of spinor representationsPart II. Some problems of spectral analysis § 10. The product of two irreducible representations of the Lorentz group § 11. Decompositions of tensor representations § 12. Symmetric powers § 13. Reduction of dimension (restriction of representations from a group to a subgroup) § 14. Computation of the spectrum of a tensor product of two irreducible representations § 15. Concrete formulae of spectral analysisReferences
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