<電子ブック>
Algebraic Theory of Locally Nilpotent Derivations / by Gene Freudenburg
(Encyclopaedia of Mathematical Sciences ; 136)
版 | 1st ed. 2006. |
---|---|
出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2006 |
本文言語 | 英語 |
大きさ | XI, 261 p : online resource |
著者標目 | *Freudenburg, Gene author SpringerLink (Online service) |
件 名 | LCSH:Commutative algebra LCSH:Commutative rings LCSH:Algebraic geometry LCSH:Topological groups LCSH:Lie groups FREE:Commutative Rings and Algebras FREE:Algebraic Geometry FREE:Topological Groups and Lie Groups |
一般注記 | First Principles -- Further Properties of Locally Nilpotent Derivations -- Polynomial Rings -- Dimension Two -- Dimension Three -- Linear Actions of Unipotent Groups -- Non-Finitely Generated Kernels -- Algorithms -- The Makar-Limanov and Derksen Invariants -- Slices, Embeddings and Cancellation -- Epilogue This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geometry, but also in fields such as Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. Topics of special interest include: progress in the dimension three case, finiteness questions (Hilbert’s 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. The reader will also find a wealth of pertinent examples and open problems and an up-to-date resource for research. HTTP:URL=https://doi.org/10.1007/978-3-540-29523-5 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783540295235 |
|
電子リソース |
|
EB00231516 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降