Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Waterhouse W.C. — Introduction to Affine Group Schemes Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Introduction to Affine Group Schemes Автор: Waterhouse W.C. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1979 Количество страниц: 180 Добавлена в каталог: 07.12.2008 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Action of an affine group scheme      21 Adjoint representation of G      100 Affine algebraic group      29 Affine group scheme      5 Algebra      3 Algebraic affine group scheme      24 Algebraic matrix group      29 Anisotropic toms      56 Anti-equivalence      15 Antipore      8 Arf invariant      147 Artin — Schreier theory      143 Augmentation ideal      13 Automorphism group scheme      58 Base change      11 Borel subgroup      77 Cartan subgroup      77 Cartier duality      17 Center of a group scheme      27 Central simple algebra      145 CHARACTER      14 Charater group      55 Clopen set      42 Closed embedding      13 Closed set in       28 Closed set in Spec A      42 Closed set, closure      156 Closed subgroup      13 Coalgebra      26 Coassociativity      9 Cocommutative Hopf algebra      10 Coconnected Hopf algebra      64 Cocycle      136 137 Cohomology class      136 137 Cokereel      127 Commutative Lie algebra      99 Comodule      23 Connected affine group scheme      51 Connected component of G      51 Connected set, connected component      157 Constant group scheme      16 45 Continuous -action      48 Continuous function      157 Coseparable coalgebra      53 Crossed homomorphism      137 Dense set      157 Derivation      83 Derived group      73 Descent data      131 Diagonalizable group scheme      14 Differenfal field      77 Differential operator      99 Differentials of an algebra      84 Dimension of an algebraic G      88 Direct limit      151 Distribution (supported at e)      99 Dtployt      see Split Dual      see Cartier duality Etale finite group scheme      49 91 Etale topology      118 Euler's theorem      75 Exterior power      152 Faithfully flat (fpqc) topology      117 Faithfully flat covering      117 Faithfully flat ring map      103 Fiber product      7 Finite group scheme      16 Fixed element      64 Flat ring map      103 FORM      see Twisted form Formal group law, formal group, formal Lie group      90 Formally principal homogeneous space      142 fppf topology      118 Frobenius homomorphism      91 functor      4 Grothendieck topology      118 Group scheme of units of D      57 Group-like element      14 Height one, finite group of      87 Hilbert basis theorem      153 Homomorphism of group schemes      13 Hopf algebra      8 Hopf ideal      13 Ideal in a Lie algebra      99 Idempotent      19 Invariant operator      92 Inverse limit      151 Invertible module      149 Irreducible representation      63 Irreducible set, irreducible component      39 40 Isogeny      119 Jacobi identity      93 Jordan decomposition      69 70 Kernel of a group scheme map      14 Kmll intersection theorem      154 Kolchin fixed point theorem      62 Kummer theory      143 Lie algebra      93 Lie — Kolchin triangularization theorem      74 Linear algebraic group defined over k      33 Linear representafon      21 Local ring      153 localization      152 Maximal ideal      153 Multiplicative type, group of      55 Nakayama's lemma      154 Natural correspondence      6 Natural map      5 Nilradical      153 Noether normalization lemma      155 Noetherian ring      153 Nonsingular      see Smooth Normal closed subgroup      14 Nullstellensatz      155 One-parameter subgroup      60 Order of a finite group scheme      112 p-Divisible group      126 Parabolic subgroup      77 Picard group      149 Picard — Vessiot extension      77 Pointed coalgebra      72 Polynomial map      28 Prime ideal      153 Primitive element      14 Principal homogeneous space      142 Quotient map      114 Radical of G      97 Rank of a smooth group      77 Rational point      33 Reduced ring      153 Reductive group      97 Regular local ring      89 Regular representation      23 Relatively closed set      157 Representable functor      5 Representation      see Linear representation Representation of a Lie algebra      96 Ring of functions on S      30 Root system      98 Scheme      44 Schur's lemma      63 Semi-direct product      19 Semi-invariant element      34 Semisimpie group      97 Separable algebra      47 Separable matrix      54 Sheaf      43 Sheaf in fpqc topology      117 Smooth group scheme      88 Solvable group scheme      73 Spec A      41 Split toms      56 Strictly upper triangular      62 Subcomodule      23 Symplectic group      99 Tate — Barsotti group      see p-Divisible group Tomor      see Principal homogeneous space Toms      55 topology      156 Triangulable group scheme      72 Twisted form      134 Unipotent group scheme      63 Unipotent matrix      62 Unipotent radical      97 Unitary group      99 Weil restriction      61 Weyl group      77 Yoneda Lemma      6 Zariski coveting      117 Zariski topology on       28 Zariski topology on Spec A      42 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте