The concept of Hopf algebras was first introduced in the theory of algebraic topology but in recent years has been developed by many mathematicians and applied to other areas of mathematics such as Lie groups, algebraic groups and Galois theory. This book is an introduction to the basic theory of Hopf algebras for the reader already familiar with the basic ideas of linear algebra and commutative algebra. After introducing and discussing the basic properties of coalgebras, bialgebras and Hopf algebras, the author treats the fundamental structure theorem of bi-modules and Sullivan's proof of the existence and uniqueness of integrals of Hopf algebras. This book will interest graduate students and research workers who specialise in algebra.
發表於2024-11-23
Hopf Algebras (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 電子書 下載
最近我讀瞭Eiichi Abe的Hopf algebras,感覺這本書是用結構主義的觀點寫成的,連具體實例都顯得相當工整。下麵我就嘗試著用自己提齣的MLMA大法,對Hopf代數這個較復雜的基礎概念做簡單剖析。 Motivation:Hopf代數的主要動機應該源於範疇論中的對偶,當我們掌握瞭...
評分最近我讀瞭Eiichi Abe的Hopf algebras,感覺這本書是用結構主義的觀點寫成的,連具體實例都顯得相當工整。下麵我就嘗試著用自己提齣的MLMA大法,對Hopf代數這個較復雜的基礎概念做簡單剖析。 Motivation:Hopf代數的主要動機應該源於範疇論中的對偶,當我們掌握瞭...
評分最近我讀瞭Eiichi Abe的Hopf algebras,感覺這本書是用結構主義的觀點寫成的,連具體實例都顯得相當工整。下麵我就嘗試著用自己提齣的MLMA大法,對Hopf代數這個較復雜的基礎概念做簡單剖析。 Motivation:Hopf代數的主要動機應該源於範疇論中的對偶,當我們掌握瞭...
評分最近我讀瞭Eiichi Abe的Hopf algebras,感覺這本書是用結構主義的觀點寫成的,連具體實例都顯得相當工整。下麵我就嘗試著用自己提齣的MLMA大法,對Hopf代數這個較復雜的基礎概念做簡單剖析。 Motivation:Hopf代數的主要動機應該源於範疇論中的對偶,當我們掌握瞭...
評分最近我讀瞭Eiichi Abe的Hopf algebras,感覺這本書是用結構主義的觀點寫成的,連具體實例都顯得相當工整。下麵我就嘗試著用自己提齣的MLMA大法,對Hopf代數這個較復雜的基礎概念做簡單剖析。 Motivation:Hopf代數的主要動機應該源於範疇論中的對偶,當我們掌握瞭...
圖書標籤: Hopf 代數 Algebra Abe
作者居然叫安培晉三…
評分作者居然叫安培晉三…
評分作者居然叫安培晉三…
評分作者居然叫安培晉三…
評分作者居然叫安培晉三…
Hopf Algebras (Cambridge Tracts in Mathematics) 2024 pdf epub mobi 電子書 下載