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Miller W. — Symmetry Groups and Their Applications
Miller W. — Symmetry Groups and Their Applications



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Название: Symmetry Groups and Their Applications

Автор: Miller W.

Язык: en

Рубрика: Математика/Симметрия и группы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1

Год издания: 1972

Количество страниц: 432

Добавлена в каталог: 30.04.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Addition theorems      203 231
Adjoint group      182 183
Adjoint Lie algebra      183
Adjoint operator      92 414
Ado’s theorem      170
Ahlfors, U.      156 157 415
Analytic curve      165 166
Analytic manifold      165
Angular momentum operators      239 254
Angular momentum operators, orbital      269
Angular momentum operators, spin      269
Angular momentum operators, total      269
Annihilation operator      369
Anticommutation relations      369
Apostol      7 163 415
Associative algebra      132
Associative law      1 163
Automorphism group      8
Automorphism group of groups      6
Automorphism group of Lie algebras      170
Automorphism group, inner      8 182
Automorphism group, local analytic      170
Average      212
Axis of rotation      18
Balmer series      377
Bargmann, V.      263 4023 415
Baryon      268 37 3
Basis      17
Basis, canonical      257 298
Basis, orthonormal      18 66 412
Bessel functions      406 421
Biedenharn, L. C      415
Billings, A      415
Bisymmetric transformations      131
Boerner, H.      117 119 135 151 362 368 375 396 415
Boson      369 378
Bounded below (rep)      235
Bounded operator      413
Bounded set      21
Bounded set, branch      322 341 345 353
Branching laws      375
Burckhardt, J.      57 59 415
Campbell — Baker — Hausdorff formula      161
Campbell, L.      204 415
Canonical coordinates      178
Cartan’s criterion      392
Cascade particle      372
Casimir operator      234 260 394
Cauchy sequence      153 210 409
Cayley’s Theorem      12
Cell, primitive      37
Center (Lie algebra)      183
Centroid      25
CHARACTER      74 217
Character, compound      75 217
Character, simple      75 217
Character, table      85
Charge      372
Chevalley, C.      23 6 415
Circle group      215
Clebsch — Gordan coefficients      81 236
Clifford algebra      363
Closed set      211
Closed subspace      219 410
Cohen, A.      195 415
Cohn, P.      416
Commutator bracket      159 167 169 191
Commutator subgroup      205
Compact group      206 21
Compact set      211
Complementary series      304
Complexification (Lie algebra)      228
Congruent sets      20
Conjugacy class      5
Conjugate reps      389
Conjugate reps, self      389
Continuous function      206
Convergent sequence      409
Convergent Series      412
Convolution product      72
Cornwell, J.      416
Cosct      4
Cotton, F.      416
Courant, R.      416
Coxeter, H      416
Creation operator      369
Cross product      102 376
Crystal      52
Crystal, classes      53
Crystal, ideal      53
Crystal, real      53
Crystal, system      40
Crystallography point group      38
Crystallography restriction      39
Ctebsch — Gordan series      81 233
cube      31 90
Cullen, C      351 416
Curtis, C.      151 416
Cycle notation      3 137
Davydov, A.      416
De Vries, H.      165 368 391 416
Degeneracy      110 114
Degeneracy, accidcntal      110 114
Derived algebra      205
Determinant      2 19
Dettman, J.      416
Dihedral groups      29
Dirac equation      320 365
Dirac matrices      362
Dircct sum (reps)      68 79
Direct product      13 216
Direct sum (Hilbert spaces)      413
dodecahedron      32
Domain (of homomorphism)      7
Dynamical symmetry group      400
Dyson, F.      375 416
Eigenvalue      18 70 109
Eightfold way      373
Eisenhart, L.      416
Elastic interaction      266
Electron      268 319 362
Electron, shell      381
Energy, total      310 317
Equivalence classes      5 52 71
Erdelyi, A.      399 404 416
Euclidean algorithm      28
Euclidean group      20 190 278
Euclidean space      16
Euler angles      225 231
Event      293
Exponential mapping      175 177
Exponential matrix      152
Fermion      369 378
Finkbciner, D.      173 416
Fourier coefficients      412
Fourier series      215
Fourier transform      280
Frame Young      120
Frame Young, conjugate      389
Frame Young, inertial      293
Freudenthal, H.      165 368 39
Freudenthal, H.L.      416
Frobenius reciprocity theorem      84
Fundamental domain      37
Gamma function      204 246 422
Gaussian units      283
Gegenbauer polynomials      245
Gel'fand, I.      282 308 320 377 416
Gell — Man, M.      373 416
General linear group      2 128 321
Generating function      203
Glide reflection      22
groups      1
Groups, abelian (commutative)      1
Groups, algebra (ring)      64 120 214 387
Groups, character      74
Groups, classical      171
Groups, conjugate      25
Groups, covering      225 290
Groups, crystal      53
Groups, cyclic      6
Groups, discrete      24
Groups, factor      5
Groups, isomorphic      6 25
Groups, lattice      34
Groups, Lie      162
Groups, nonsymmorphic      57
Groups, space      53 55
Groups, symmorphic      56
Guggenheimer, H      416
Hall, M      114
Hamermesh, M.L.      34 60 114 120 151 263 272 375 384 386 390 391 416
Hamiltonian operator      108
harmonic oscillator      10 397
Harmonic oscillator, group      397 400 403
Hausner, M      165 181 187 391 417
Heine — Borel theorem      211
Heine, V.      417
Helgason, S.      165 255 396 417
Helmholtz equation      64
Helwig, G      108 216 255 376 398
Helwig, G,      4 0 417
Henry, N.      417
Hermite polynomials      399 422
Hermitian matrix      173
Herzberg, G.      417
Hexagon      15
Hilberi, D.      416
Hilbert space      107 214 409
Hilbert space, separable      41
Holohedry      39
Holohedry, cubic      44 51
Holohedry, group      6
Holohedry, hexagonal      47 51
Holohedry, Homomorphism analytic      186
Holohedry, Lie algebra      170 178
Holohedry, local analytic      170 178
Holohedry, monoclinic      5 5 51
Holohedry, orthorhombic      49 51
Holohedry, rhombohedral      48 51
Holohedry, tetragonal      47 51
Holohedry, triclinic      50 51
Hydrogen atom      376
Hypercharge      372
Hypergeometcic functions      203 222 422
Icosahedral group      32
Ideal left      99
Ideal left, Lie algebra      185
Ideal left, minimal      99 100
Ideal left, right      99
Ideal left, two-sided      99
Idempotent      97
Idempotent, essential      120
Idempotent, generating      139
Idempotent, primitive      98
Identity element group      1 163
Identity element group, matrix      3 17
Identity element group, operator      17 20
Implicit function theorem      163 164
Ince, E      176 417
Indecomposable vector      79 129
Index {subgroup)      4
Infinitesimal operator      186
Inner (scalar) product      16 66 407
Inner (scalar) product, space (pre — Hilbert space)      66 407
Integrability conditions      195
Integrability conditions, function      205
Integrability conditions, invariant equations      278 294 313
Integrability conditions, measure      206
Integrability conditions, normalized measure      212
Integrability conditions, subset      9
Integrability conditions, subspace      67
Inverse, function theorem      63 177
Inverse, group      1 163
Inverse, matrix      17
Inverse, operator      17
Inversion operator      17 26 288
Inversion operator, space      288
Inversion operator, time      288
Inversion operator, total      288
Isobaric spin space      370
Isometry      20
Isomorphism group      6 182
Isomorphism group, inverted      142
Isomorphism group, Lie algebra      170 178
Isomorphism group, local analytic      170 178
Isomorphism group, pre — Hilbert space      409
Jacobi equality      168 169
Jacobi polynomial      257
Jacobian      163 165 177 206
Jacobson, N.      170 1
Jacobson, N., S      205 391 417
Jauch. J.      312
Judd, B.      417
Kamimura, H.      419
Kato. T      108 111 417
Kernel of homomorphism      7
Killing form      394
Klein — Gordon equation      317 362
KOREVAAR, J.      407 410 417
Kronecker della      3 17 423
Kursnnoglu, B.      377 417
Ladder (weight)      324 342
Ladder length      324
Lagrange's theorem      5
Laguerre polynomial      246 423
Lancaster, P.      349 417
Landau, L.      265 312 320 417
Laplace equation      242 249
Lattice      37
Lattice, base-centered      49 50
Lattice, body-centered      46 47 49
Lattice, Bravais      42 51
Lattice, crystal      37
Lattice, face-centered      46 50
Lattice, postulate      53
Lattice, primitive      47 48 49
Lattice, type      43
Lebedev, N.      259 417
Lebesgue integral      214 411
Legendre equation      238
Legendre function      231 241 423
Legendre polynomial      231 237 244 423
Lie algebra      168
Lie algebra, abstract      168 181
Lie algebra, commutative (abelian)      182
Lie algebra, compact      394
Lie algebra, complexified      184 228
Lie algebra, exceptional      392
Lie algebra, rank      395
Lie algebra, semisimple      391
Lie algebra, simple      392
Lie algebra, solvable      391
Lie algebra, subalgebra      184
Lie derivatives      189
Lie derivatives, equal      193
Lie derivatives, generalized      196 198
Lie derivatives, linearly dependent      193
Lie derivatives, linearly independent      193
Lie groups      162 165
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