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Yanagihara H. — Theory of Hopf Algebras Attached to Group Schemes
Yanagihara H. — Theory of Hopf Algebras Attached to Group Schemes



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Название: Theory of Hopf Algebras Attached to Group Schemes

Автор: Yanagihara H.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1977

Количество страниц: 308

Добавлена в каталог: 18.11.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\underline{H}(G)$-structure of a vector space      124
Action of a group scheme on a vector space      118
Adjoint representation of a group scheme of degree s      153
Affine group scheme      48
Affine open scheme      1
Affine scheme      1
Algebra over a field      29
Algebraic Hopf subalgebra      101
Algebraic hull of a Hopf subalgebra      102
Algebraic hull of a Lie subalgebra      193
Algebraic Lie subalgebra      193
Algebraic scheme      1
Algebraic variety      219
Antipode      46
Bigebra attached to an isogeny      239
Bigebra homomorphism      51
Bigebra over a field      45
Biideal      50
Canonical basis for $\underline{H}(G)$      113
Canonical basis for $\underline{S}_{r}(K/k)$      204
Canonical projection of $C\otimes_{k}C^{'}$ to C as coalgebras      32
Canonical representation of $\underline{H}(G)$ to $M_{n}(k)$      116
Canonical set of generators for the maximal ideal      83
Cartier dual of a bigebra      48
Center of a formal group      170
Center of a group scheme      170
Center of a Hopf algebra      170
Centralize a formal subgroup      170
Centralize a group subscheme      170
Centralize a Hopf subalgebra      170
Centralize a Lie subalgebra      198
Centralizer of a formal subgroup      170
Centralizer of a group subscheme      170
Centralizer of a Hopf subalgebra      170
Centralizer of a Lie subalgebra      198
Closed subscheme      1
Coalgebra homomorphism      31
Coalgebra isomorphism      31
Coalgebra over a field      30
Cocommutative bigebra      46
Cocommutative coalgebra      39
Coideal      31
Coidentity of a coalgebra      30
Colocal coalgebra      39
Colocal coalgebra of finite type      44
Commutative bigebra      46
Commutative group scheme      22
Commutator of formal subgroups      178
Commutator of group subschemes      181
Commutator of Hopf subalgebras      178
Commute with a formal subgroup      170
Commute with a group subschemes      170
Commute with a Hopf subalgebra      170
Comodule homomorphism      App. II 279
Comorphism of a homomorphism      12
Comorphism of a morphism      2
Comultiplication of a coalgebra      30
Connected component of a group scheme      18
Continuous dual coalgebra of a local ring      69
Decompose through a subscheme      15
Diagonal morphism      4
Direct image of a group scheme by a morphism      110
Divided power      60
Dual algebra of a coalgebra      31
Dual coalgebra of an algebra      31
Exponent not larger than N      126
Field of homotheties      231
Field of rational functions      219
Formal comorphism      104
Formal group      71
Formal group attached to a Hopf algebra      75
Formal group homomorphism      77
Formal subgroup      75
Formalization of a group scheme      97
Frobenius endomorphism      57
Frobenius morphism of height r      243
General linear group of order n      116
Group of linear automorphisms      117
Group scheme of linear automorphisms      117
Group scheme over a field      4
Group subscheme      16
Group variety      208
Group-like element      42
h-inverse      56
h-kernel      56
Homomorphism of a group scheme      11
Homothety of a field      231
Hopf algebra attached to a formal group      75
Hopf algebra attached to a group scheme      97
Hopf algebra over a field      46
Hopf ideal      50
Hopf quotient algebra      50
Hopf subalgebra      50
Identity morphism of a group scheme      5
Identity of an algebra      29
Image of a formal group homomorphism      81
Image of a formal subgroup      81
Infinitesimal group subscheme of height s      19
integral      App. II 284
Intersection of group subschemes      136
Intersection of Hopf subalgebras      132
Intersection of Lie subalgebras      193
Inverse image of a formal subgroup      81
Inverse image of a group subscheme      110
Inverse morphism of a group scheme      5
Isogeny of a group variety      239
Join of group subschemes      135
Join of Hopf subalgebras      132
Join of Lie subalgebras      192
Kernel of a formal group homomorphism      81
Kernel of a group scheme homomorphism      111
Krull dimension of a Hopf algebra      75
Left comodule      App. II 279
Left invariant semi-derivation      208
Left translation of a group scheme      12
Lie algebra attached to a group scheme      191
Local component of a semi-derivation      207
Measure a field K to K      App. III 294
Morphism of a scheme      1
Multiplication of a groupscheme      5
Multiplication of an algebra      29
Neutral group subscheme      18
Normal formal subgroup      157
Normal group subscheme      19
Normal Hopf subalgebra      157
Normal Lie subalgebra      198
Normalize a formal subgroup      157
Normalize a group subscheme      156
Normalize a Hopf subalgebra      157
Normalize a Lie subalgebra      197
Normalizer by the adjoint representations      153
Normalizer of a formal subgroup      157
Normalizer of a group subscheme      157
Normalizer of a Hopf subalgebra      157
Normalizer of a Lie subalgebra      198
Normalizer of a subspace by a representation      123
Open subscheme      2
Operate on a scheme from left      216
Operate transitively      218
Orbit of a point      218
Primitive element      43
Principal homogeneous space      229
Product group scheme      22
Product scheme      3
Projection of a product scheme      3
Purely inseparable isogeny of height r      243
Quasi-bigebra structure      70
Quotient coalgebra      32
Quotient formal group      76
Rational Module      App. II 281
Rational representation of a group scheme      118
Reduced formal group      89
Regular semi-derivation      204
Right comodule      App. II 279
Right translation of a group scheme      12
Ring of endomorphisms of a vector space      118
Semi-derivation of height r      203
Separated scheme      4
Sequence of divided powers      60
Shift of a bigebra      58
Space of left integrals      App. II 284
Special semi-derivation of height r      203
Strict quasi-bigebra structure      71
Structure morphism of a scheme      2
Subbigebra      50
Subcoalgebra      31
Tangential homomorphism      104
Tensor product of bigebras      51
Tensor product of coalgebras      32
Transporter by the adjoint representations      153
Transporter in $End_{k}(V)$      122
Transporter in a group scheme      123
Transpose module      App. II 289
Transpose of a linear map      31
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