Atiyah M. — Representation Theory of Lie Groups :: Электронная библиотека попечительского совета мехмата МГУ

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Atiyah M. — Representation Theory of Lie Groups

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Название: Representation Theory of Lie Groups

Автор: Atiyah M.

Аннотация:

Representation theory of Lie groups: proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups

Язык:

Рубрика: Математика/Алгебра/Теория представлений/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1979

Количество страниц: 341

Добавлена в каталог: 19.03.2005

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Предметный указатель

Adjoint representation      7 8 71
Almost simple Lie group      132
Analytic vector      190
BN-pair      136
Borel subgroup      146
Borel — Weil theorem      87
Bruhet decomposition      135
Cartan decomposition      120
Cartan involution      126 261
Cartan matrix      112
Cartan signature      121
Cartan subalgebra      73 107
Cartan subgroup      141
Casimir elements      158
Casimir operator      211
CHARACTER      6 9 20
Class number      5
Classical groups      68
Co-root      110
Complementary series      203
Complex polarization      314
Configuration space      166
Continuous series      200
Cuspidal parabolic group      230
Derivation      92
Derived homomorphism      95
Derived series      105
Diagram      80
Discrete series      200
Discriminant      5
Dynkin diagram      112
Eigenspace representations      236 241
Elementary relativistic particle      160
Energy      157
Equivalence of representations      20
Ergodic action      25
Exceptional groups      68
Exponential map      96
Exponents      67
Formal dimension      224
Fundamental series      231
Galilean group      154
Group representation      8
Hamiltonian vector fields      169
Harish — Chandra character      204 205
Heisenberg commutation relations      39
Imprimitivity theorem      32 37
Induced character      21
Infinitesimal diagram      75
Inhomogeneous Lorenz group      154
Intertwining operator      50
Invariant eigendistribution      206
Iwasawa decomposition      123 133
Jacobi identity      93
K-character      207
Killing form      105
Kirillov      44
Lagrangian submanifold      289
Langlands decomposition      137 140
Left invariant vector field      94
Levi decomposition      106
Levi subalgebra      106
Levi subgroup      139
Lie algebra      92
Lie group      65 93 94
Light cone      154

Linear momenta      157
Lower central series      105
Modular form      12
Non-degenerate series      231
Observable      152
One-parameter subgroup      96
Orthogonal group      96
Parabolic rank      140
Parabolic subgroup      136
Peter — Weyl theorem      185
Phase space      167
Plancherel theorem      186
Poincare group      154 156
Poincare series      81
Poisson algebra      293
Poisson bracket      288
Polarization      174
Principal series      200
Projection valued measure      34
Projective representation      54
Pukansky condition      313
Pure state      152 166
Quantization      173
quantum mechanics      151
Quaternionic unitary group      100
Radon transform      320
Rank      99
Real form      114
Real polarization      289
Reflection representation      333
Regular representation      22
Relative root system      124
Relativistic symmetries      153
Riemannian symmetric coset space      259
Root      109
Root space decomposition      109 122
Root system      109
Satake diagram      126
Semi-simple      106 107
Semi-simple Lie group      132
Simple roots      111
Special orthogonal group      100
Special unitary group      100
Split form      116
Split rank      124
Symmetrization      250
Symplectic manifold      168
Symplectic structure      288 290
System of imprimitivity      36
Tangent bundle      91
Tangent map      91
Tangent vector      91
Toda lattice      294
Torus      366
Transition probability      152
Uni tary group      100
Unipotent radical      129
Unitary representation      24
Universal covering group      104
Upper central series      105
Vector field      92
Velocity phase space      166
Wave function      152
Wave vector      152
Weyl character formula      87
Whittaker vector      309

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