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Neher E. — Jordan Triple Systems by the Grid Approach
Neher E. — Jordan Triple Systems by the Grid Approach

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Название: Jordan Triple Systems by the Grid Approach

Автор: Neher E.

Язык: en

Рубрика: Математика/

Серия: Lecture Notes in Mathematics

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 193

Добавлена в каталог: 09.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$1\times 2$ Coordinatization Theorem      111
Albert Coordinatization Theorem      134
Albert grid      84
Albert triple      134
Alternating matrices      4
Alternating matrix system      4
Ample subspace      4 137
Associated grids      59
Associated tripotents      17
Atomic cog      44
Atomic JBW*-triple      171
Bergman operator      2
Bi-Cayley Coordinatization Theorem      130
Bi-Cayley grid      78
Bi-Cayley triple      129
Classification of topologically simple, positive Hilbert triples      160
Closed cog      34
Closure of a cog      39
Code      163
CoG      25
Cog with minimal tripotents      43
Collinear systems      15
Collinear tripotents      12
Compact Jordan triple system      53
Compatibility Criterion      10
Compatible (element or family)      10
Compiete-Reducibility-Theorem      169
Connected      30 31
Connected components      31
Connecting chain of length n      30
Contractive projection      172
Coordinate algebra      139
Cover Classification Theorem      107
Cover of E in V      11
Cubic surface      100
Decomposition Theorem for Hilbert triples      155
diamond      20
Diamond Criterion      20
Diamond Decomposition Theorem      23
Double six      105
E covers V      11
Even-dimensional quadratic form coordinatization      124
Even-dimensional quadratic form grid      75
Even-dimensional quadratic form triple      6
Exchange automorphism      15
Extension      4
Faithful family of projections      172
Frame      103
Generalized tripotent      150
Govern (governing)      12
grid      39
Grid Classification Theorem      89
Hermitian Coordinatization Theorem      116
Hermitian grid      22 63
Hermitian Hilbert triple      147
Hermitian Jordan-*-tripie      165
Hermitian matrix system      4
Hermitian matrix unit      5
Hermitian Symmetries Theorem      115
Hilbert triple      147
Homomorphism between Jordan triple systems      1
I-algebra      55
Ideal of a Jordan triple system      1
Ideal of an algebra with involution      137
Idempotent      8
Invertible elements      17
Involutivegrading      49
Isometric isomorphism between Hilbert triples      160
Isomorphism of algebras with involutions      139
Isomorphism of Jordan triple systems      1
Isomorphism theorem for atomic JBW*-triples      181
Jacobson radical      2
JB*-triple      165
JBW*-triple      167
Jordan algebra      2
Jordan pair      2
Jordan pair associated to a Jordan triple system      141
Jordan Pair Classification Theorem      141
Jordan triple system      1
Jordan triple system associated to a Jordan algebra      2
Jordan triple system of a Jordan pair      2
Jordan-*-tripie      165
Local idempotent      55
Local tripotent      54
Local-Structure-Theorem      27
Main Construction Theorem      99
maximal tripotent      166
minimal tripotent      43
Negative Hilbert triple      155
Negative tripotent      150
No-Tower-Lemma      26
Nuclear involution      4
Odd-dimensional quadratic form coordinatization      126
Odd-dimensional quadratic form grid      61
Odd-dimensional quadratic form triple      6
Ortho-collinear system      30
Orthogonal family of projections      172
Orthogonal system      12
Orthogonal tripotents      12
Peirce decomposition      7
Peirce grading      49
Peirce multiplication rules      7
Peirce projection operators      7
Peirce reflection      8
Peirce sum      10
Peirce-compatible tripotents      11
Peirce-dense family      11
Peircespace      7 10
Polarized Jordan triple system      3
Positive Hilbert triple      155
Positive tripotent      150
Primitive tripotent or idempotent      54
Pure ortho-col linear system      61
Quadrangle (of tripotents)      16
Quadrangle criterion      16
Quadrangle Decomposition Theorem      16
Quadratic form grid      61
Quadratic form triple      5
Rank      66
Rectangular Coordinatization Theorem      111
Rectangular grid      68
Rectangular matrix system      3
Rectangular matrix units      3
Rectangular Symmetries Theorem      109
Rigid, rigidly imbedded      14
Schl’afli’s Double Six Theorem      105
Semisimple Jordan triple system      2
Simple algebra with involution      137
Spectral decomposition in a Hilbert triple      154
Spin factor      159
Split octonion algebra      127
Split quaternion algebra      127
Standard example      107
Standard grid      60
Structure Theorem for atomic JBW*-triples      176
Structure Theorem for positive Hilbert triples      157
Subsystem      1
Symmetry (of a cog)      67
Symplectic Coordinatization Theorem      114
Symplectic grid      71
Symplectic matrix system      4
Symplectic matrix unit      4
Symplectic Symmetries Theorem      113
Topologically simple positive Hilbert triples      158
triangle      19
Triangle Criterion      19
Triangle Decomposition Theorem      19
Triheder      104
Triple product      1
Triple tangent plane      103
Tripotent      7
tripotential Jordan triple system      44
w*-      167
w*-limit      172
w*-Summability-Criterion      172
weak-*-topology      167
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