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Ottesen J.P. — Infinite Dimensional Groups and Algebras in Quantum Physics |
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Предметный указатель |
Admissible representation 113
Affine Kac — Moody algebra 102
Almost linear operators 34
Annihilation operator 21 66
Bogoliubov transformation 19 82
Boson-fermion correspondance 175
Canonical anti-commutation relations 18
Canonical commutation relations 62
CAR-algebra 18
CAR-algebra, Fock representation of 20
Casimir operator 111
Casimir operator, shifted 115
CCR-algebra 75
CCR-algebra, Fock representation of 75
Central extension 102
Charge gradation 55
Charge operator 54
Clifford algebra 24
Complex structure 33 81
Creation operator 21 64
Diffeomorphism group 188
Diffeomorphism group as a symplectic group 203
Energy operator 135 192 195
Energy operator, decomposition of 197
Energy operator, sector energy operator 207
Fermionic oscillator algebra 132
Finite energy representation 136
Finite energy subspace 134
Fock Hilbert space 13
Fock Hilbert space, antisymmetric 15
Fock Hilbert space, symmetric 15
GKO construction 165
Highest component 157
Highest weight 109 126 156
Highest weight representation 109 126 156
| Highest weight vector 109 126 156
Index-tuples 208
Killing form 101
Level 165
Loop algebra 100
Loop group 100
Loop group 172
Loop group , projective representation of 187
Loop group , the charge group C 172 182
Loop group , the special loop group 172
Loops 100
Lowest weight representation 144
Metaplectic group 94
Metaplectic Lie algebra 94
Metaplectic representation 94
Neveu — Schwarz sector 132
Orthogonal group 24
Orthogonal group, restricted 34
Positive energy representation 136 192 198
Pre-Lie-algebra 35 83
Restricted unitary group 50
Second quantization 28 79
Sector vacuum 197
Shift operator 183
Spin group 44
Spin Lie algebra 45
Spin representation 44
Sugawara construction 119
Symplectic group 81
Symplectic group, restricted 83
Vacuum functional 46 97
Vacuum vector 14
Verma module 107
Virasoro algebra 125
Virasoro operators 134
Weyl operator 70
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