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商品詳細
Algebraic Operads : An Algorithmic Companion.
・ISBN 978-1-4822-4856-2 hard GB£ 145.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-429-09004-2
| 著者・編者 | Bremner, Murray R. / Dotsenko, Vladimir, |
|---|---|
| 出版社 | (Chapman & Hall/CRC, US) |
| 出版年月 | 2016 |
| ページ数 | 365 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7652＞ |
解説
Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Groebner bases in several contexts. The book builds up to the theory of Groebner bases for operads due to the second author and Khoroshkin as well as various applications of the corresponding diamond lemmas in algebra.
The authors present a variety of topics including: noncommutative Groebner bases and their applications to the construction of universal enveloping algebras; Groebner bases for shuffle algebras which can be used to solve questions about combinatorics of permutations; and operadic Groebner bases, important for applications to algebraic topology, and homological and homotopical algebra.
The last chapters of the book combine classical commutative Groebner bases with operadic ones to approach some classification problems for operads. Throughout the book, both the mathematical theory and computational methods are emphasized and numerous algorithms, examples, and exercises are provided to clarify and illustrate the concrete meaning of abstract theory.