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| Авторизация |
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| Поиск по указателям |
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| Lectures on invariant theory |
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| Предметный указатель |
Absolute invariant 150 155 161
Action, faithful 89
Action, linearizable 124
Action, rational 37
Action, regular 37
Additive group 37 56 62 101
Adjugate matrix 18
Affine algebraic group 35
Affine cone 117 131
Algebra of covariants 70
Algebra of invariants 2
Algebraic group, diagonalizable 143
Algebraic group, exceptional type 42
Algebraic group, geometrically reductive 42
Algebraic group, linear 37
Algebraic group, linear reductive 42
Algebraic group, reductive 42
Algebraic group, semisimple 42
Algebraic group, simple 42
Algebraic torus 42
Algebraic variety, abstract 118
Algebraic variety, affine 35
Algebraic variety, complete 132
Algebraic variety, projective 40
Algebraic variety, proper 132
Algebraic variety, quasi-affine 50
Algebraic variety, quasi-projective 40
ample 103
Ample, very 103
Ampleness criterion 116
Apolar 15
Association isomorphism 181
Averaging operator 30 71
Base-point-free, line bundle 103
Base-point-free, linear system 111
Binary form 4
Bracket function 12 23
Capelli identity 28
Catalecticant 10 13 15 28 150
Catalecticant invariant 15
Catalecticant matrix 15
Cayley  -process 27
Cayley operator 17
Cayley — Sylvester formula 82
Chamber 174
Chevalley's criterion 100
Chow variety 100
Clebsch — Gordan decomposition 90
Closed embedding 40
Coaction homomorphism 37
Cocycle 104
Combinant 69 87
Complete reducibility 70
Concomitant 69
Contravariant 69
Convex polyhedral cone 188
Coordinate algebra 35
Covariant 66
Covariant of an action 69
Covariant, degree of 66
Covariant, order of 66
Cross-ratio 88 162 176
Diagonal action 65
Discriminant 9 14 15 26 28 68 146 147 149 150 152 154 161 163
Equivalence relation 91
Equivariant function 1
Exceptional curve 177
Fan 191
Fan, complete 193
Fan, N-fan 191
Fan, simplicial 192
Flag complex 140
Flip 127 174
Fundamental Theorem, First 20 67
Fundamental Theorem, Second 24
G-variety 92
General points 61
Geometric grading 38
Gluing construction 117
Gluing data 117
Good  -action 38
Gordan — Hilbert Theorem 30
Group scheme 98
Haboush's Theorem 42
Halphen pencil 59
Hankel determinant 10
Hermite Reciprocity 82
Hesse form 88
hessian 68 88
Highest weight 76
Highest weight module 76
Highest weight vector 76
Hilbert — Mumford criterion 129
Hilbert's Problem 14 47
Homogeneous localization 40
Hook formula 86
Hypersimplex 173
Hypersurface 145
Igusa quartic hypersurface 181
Inflection point 56
Invariant function 1
Isogeneous 42
Isotropy subgroup 98
Jacobian 69
Kempf-stable 141
Laplace formula 19
Laurent monomial 73
Lefschetz Theorem 109
Line G-bundle 104
Line G-effective 127
Linear algebraic groups 37
Linearization 104
Linearization, democratic 169
| Linearization, trivial 105
Module of covariants 70
Moment map 142
Multi-degree 8 11
Multi-weight 11
Multihomogeneous 11
Multiisobaric 11
Multiplicity 55 72
Nagata Theorem 41
Nagata's conjecture 61
Nagata's counterexample 52
Normal ring 45
Null-cone vii 32 117 120
Observable subgroup 50
Omega-operator 17
One-parameter subgroup of a torus 77
One-parameter subgroup of an algebraic group 129
One-parameter subgroup, adapted 140
One-parameter subgroup, destabilizing 138
One-parameter subgroup, most responsible for instability 140
Order of concomitant 69
Order of contravariant 69
Parabolic subgroup 50
Plethysm decomposition 81
Pluecker equations 24
Point, K-point 36
Polar hypersurface 14
Polarization 5
Polarization map 6
Projective invariant 46
Projective space 39
Projective spectrum 38
Proper map 132
Quadratic form 4
Quantic 87
Quotient, categorical 92
Quotient, geometric 92
Quotient, good categorical 94
Quotient, good geometric 92
Radical 42
Rank 74
Rational action on an algebra 37
Rational character of a torus 73
Rational character of an algebraic group 106
Rational convex polyhedral cone 188
Rational quotient 100
Rational representation 37 73
Reductive algebraic group 42
Regular action 37
Regular function 35
Restitution 5
Resultant 69
Reynolds operator 71
Ring of invariants 2
Ringed space 118
Root 73
Root, dual 77
Root, negative 74
Root, positive 74
Root, simple 74
Schroedinger representation 142
Schur multipliers 108
Segre cubic primal 180
Segre quartic primal 181
Self-association involution 181
Semi-stable 115
Semiinvariant 65
Skeleton 199
Small resolution 126
Solvable algebraic group 42
Stabilizer 41
Stable 115
Stable, properly 116
Straightening law 23
Structure sheaf 118
Symbolic expression 9
Tableau 12
Tableau degree 12
Tableau function 13
Tableau function, homogeneous 13
Tableau, homogeneous 12
Tableau, rectangular 12
Tableau, standard 22
Ternary cubic 153
Theta group 141
Tits conjecture 140
Toric variety 192
Transvectant 68
Transversal 171
Unitary trick 32
Unstable 115
Valuative criterion of properness 132
Valuative criterion of separatedness 132
Variation of quotients 143
Veronese embedding 121
Veronese map 83 111
Veronese variety 83
Weierstrass equation 154
Weight 30 46 67
Weight in a representation 73
Weight of covariant 67
Weight polytope of a point 136
Weight polytope of the representation 135
Weight set 136
Weight space 135
Weight, dominant 76 78
Weight, fundamental 78
Weighted projective linearization 196
Weighted projective space 39 180
Weitzenboeck's Theorem 51
Weyl group 138
Young diagram 86
Zariski's problem 49
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