Handelman D.E. — Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem :: Электронная библиотека попечительского совета мехмата МГУ

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Handelman D.E. — Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem

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Название: Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem

Автор: Handelman D.E.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 136

Добавлена в каталог: 15.08.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Affine linear functional      33
Analytic      123
Automorphism      67 76 78 86
Barycentre      31
Bounded subring      21
Building block      55
Cancellation lemma      82
Caratheodory's theorem      36
CHARACTER      101 103 114
Chondrophage      91 97
Class group      43 57
Cohen Macauley      28 30 34
Compact connected Lie group      4
Compactification      25
Contractible      25 43
Convolution      14
d-convex      32
d-torus      60
Decomposable      87
Dedekind domain      43 57
Dihedral group      4 109 116
Dimension group      9 18 90 102
distribution      14
Dominant stratum      50 52—54 58
Dominant weight      109—111 114
Duodecagon      118
Eicosahedron      111
Embedded prime      90 91
Endomorphism      76
Entire function      108
Factorial      30 50 51 57 58 61 75 78 79 89 91 97 101
Faithful      25
Field of fractions      30 31 73 90
Formal degree      122
Formal polynomial      121—124
free      41 43 50 57 97
Function field      78
Fundamental simplex      109
Geometric      77 80 88
Hexagon      118
Homothetic      70 95
Indecomposable      67 71 72 75 78 95 96
Integral closure      31
Integral polytope      1 28 30 32—34
Integrally closed      28 30 33 34 37 40 43 51 56 57 68 70 73 85 90 95 97
Integrally indecomposable      71
Integrally simple      3 30 51 52 57 58 60 62 66 67 75 76 78 87 92 95 97 101 109 112 113 117—119
Integrally simple at v      30
Interpolation      44 63 67 see
Invertible      90
Irreducible      8 57 61 63 67 71 72 75 78 80—82 84 87—89 94 95 98 100 114
Irreducible character      109—111
Jacobian      124
k-convex      29
L-integral      109
L-integrally simple      109 111
Legendre transformation      3 5
Lie group      109
localization      25 27 28 30 35 43 52 56—58 70 79 80 90 101
Locally solid      29 30 34 35 56 57 62 68—73
Max Spec      26
Maximal ideal space      25
Maximal torus      109
Measure      120 121 123—125
Measure zero      105 106
Meet-irreducible      16 18 19 22 60 61 63—65 101 104
Monomial      6 17 19 24 62 78 85 95
Monomial algebra      80
Norm      105
octahedron      111
Operator      127

Order automorphism      78 80 82 87 88
Order ideal      6 9 16—19 21 22 26 27 29 44 47 53 60—65 67 76 77 82 84 89 90 94 95 101—103
Order isomorphism      67 73 75 76 88
Order unit      6 11 15 16 21—27 31 35 37 39 44—46 53 61 62 69 70 73 74 81 88 89 94 95 101 106
Order-cancellation      22
Order-primary      16 19—21 67
Orthogonal functions      18
p-properly ordered      114 116
Partial fractions      87
Peak poly tope      50 51 55 60 62 92 112 113
Peak polytope of K at v      50
Permutation group      81
Picard group      4 43 57 89 92 95
Point evaluation      26 42 44 72
Point-open topology      11 25 26
Positive operator      128
Primary      16 19 21 67
primitive      22 61 102
Primitive ideal      60 101 104
Principal ideal      16
Principal ideal domain      43
Projective      41 43 90 91 95 97
Projective ideal      91
Projectively faithful      30 31 34—37 39 42 50—52 56 57 71 73 75 81 85 97 110
Projectively faithful at F      35 39
Properly ordered      114
Pure polynomial algebra      7 18 57 58 60 79 87
Pure polynomial ring      52 57
Pure state      18 25 26 35 38 39 42—47 52 58 70 72—76 80 81 84 see
Pure state space      3 41 44 61 73 81
Reduced form      71 72 78
Reflection group      109
Regular      30 50 57 58 89 91 97 109
Riesz interpolation      17 22 see
Right simplex      34
SIMPLE      3 50 54 95 109 111 114 116
simplex      33 50 55
Solid      2 29 32—35 43 51
Solid square      15
Solid triangle      15
Stably isomorphic      91
Standard (unit) solid simplex      78
Standard 2-simplex      76
Standard character      111
Standard cube      7
Standard d-cube      52
Standard d-simplex      12 51 97
Standard hypercube      60
Standard simplex      52 101 113
Standard solid d-simplex      60
Standard solid simplex      50 59
Standard solid unit simplex      55
Standard unit simplex      93
Standard unit triangle      34
State      45 46 see
Totally faithful      35—37 57
Transcendence degree      ii 8 87
Translation principal      121
trapezoid      99
Triangulate      33
Unique dominant stratum property      50—52 54 57
Unique factorization      50 52 63 65 81 95
Unique factorization domain      8 61 89
Unit square      87
Unperforated      10 26 44
von Neumann regular      104
Weak topology      125
Weakly integrally simple      50 51 54 55
Weyl chamber      109 111
Weyl group      109 114
Xerox type action      60

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