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Sweedler M. — Hopf algebras
Sweedler M. — Hopf algebras



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Название: Hopf algebras

Автор: Sweedler M.

Аннотация:

These are notes from a course given in the spring of I968 at Cornell University. They are meant to be accessible to anyone who has had the standard first year graduate algebra course. The notes provide a background that will enable the reader to understand much of the current work with Hopf algebras. Several sections of the notes deal with applications of Hopf algebras to other areas of algebra.


Язык: en

Рубрика: Математика/Алгебра/Абстрактная алгебра/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1969

Количество страниц: 336

Добавлена в каталог: 05.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Affine algebraic group      123 297
Affine algebraic group, Map      299
Affine algebraic group, Quotient      300
Affine algebraic group, Rational module of      300
Affine algebraic group, Reduced      297
Affine algebraic group, Solvable      301
Affine algebraic group, Sub      298
Affine algebraic group, Topology      297
Affine algebraic group, Unipotent      301
Affine Hopf algebra      123
Algebra      3
Algebra, Augmentation      91
Algebra, Filtered      230
Algebra, graded      231
Algebra, Map      13
Algebra, Proper      119
Algebra, reduced      124
Antipode      71
Antipode, Order of      88
Associated filtered coalgebra      228
Associated graded coalgebra      228
Augmentation ideal      303
Augmented graded algebra      232
Bi-ideal      87
Bialgebra      53
Bialgebra, Filtered      237
Bialgebra, Graded      237
Bialgebra, Map      53
Bialgebra, Quotient      53
Bialgebra, Sub      53
Character of Larson      151
Co-semi-simple      287 290
Coalgebra      4
Coalgebra, Associated filtered      228
Coalgebra, Associated graded      228
Coalgebra, Co-semi-simple      287 290
Coalgebra, cocommutative      63
Coalgebra, cofree      125
Coalgebra, Cofree cocommutative      129 131
Coalgebra, Component      163
Coalgebra, Coradical of      18
Coalgebra, Direct sum of      50
Coalgebra, Filtered      226
Coalgebra, Generated by      45
Coalgebra, Graded      228
Coalgebra, Irreducible      157
Coalgebra, map      13
Coalgebra, Pointed      157
Coalgebra, Quotient      22
Coalgebra, Simple      157
Coalgebra, Strictly graded      232
Coalgebra, Sub      16
Coalgebra, Tensor product of      49
Coassociativity      5
Cocommutative coalgebra      63
Cocommutative element      63
Coequalizer diagram      27
Cofree coalgebra      125
Cofree coalgebra, Cocommutative      129 131
Coideal      18
Coideal, Left      18
Coideal, Right      18
Comodule      30
Comodule, Map      31
Comodule, Quotient      31
Comodule, Structure map      30
Comodule, Sub      30
Completely reducible module      288
Convolution      72
Coradical      181
Coradical, Filtration      185
Counit      4
Dense subspace      318
Diagonalization      4
Divided powers      268 271
Equalizer diagram      27
Filtered algebra      230
Filtered Bialgebra      237
Filtered Bialgebra, Map      229
Filtered Coalgebra      226
Filtered Coalgebra, Map      229
Filtered Hopf algebra      237
Filtered, Associated      228
Fixed, elements      202
Formal group      66—67
g-derivation      140
Graded algebra      231
Graded Algebra, Augmented      232
Graded Associated      228
Graded bialgebra      237
Graded coalgebra      228
Graded Dual      231
Graded Hopf algebra      237
Graded map      229
Graded, Strictly      232
Group-like Coalgebra      6
Group-like element      57
H-module algebra      153
Higher derivation      140
Hopf algebra      71
Hopf algebra, Affine      123
Hopf algebra, Filtered      237
Hopf algebra, Graded      237
Hopf algebra, Reduced      124
Hopf Cokernel      313
Hopf ideal      87
Hopf Kernel      312
Hopf Module      83
i-shuffle      248
Integral in H      103
Integral in H*      91
Integral, Space of      92
Irreducible coalgebra      157
Irreducible component      163
Larson's character      151
Lie algebra      57 323
Locally finite Graded vector space      231
Locally finite Property      170
Map of Algebras      13
Map of Coalgebras      13
Map of Comodules      31
Map of modules      31
Measure      139
Module      29
Module, Algebra      153
Module, Rational      37 300
Pointed coalgebra      157
Pointed Irreducible component      163
Power series formal group      66—67
primitive elements      199
Proper algebra      119
Rational G-module      300
Rational Module      37
Reduced algebra      124
Shuffle      248
Shuffle algebra      244
Sigma notation      10 32
Simple coalgebra      157
Smash product      155
Strictly graded      237
Strictly graded Bialgebra      237
Strictly graded Coalgebra      232
Subcoalgebra      16
Subcoalgebra, Generated by      45
Transpose module structure      98
Trigonometric coalgebra      140
Twist map      12
Universal enveloping algebra      324
wedge      179
Zariski topology      297
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