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Algebraic Operads: An Algorithmic Companion Murray R. Bremner 第1 版
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Algebraic Operads: An Algorithmic Companion
Murray R. Bremner
Algebraic Operads: An Algorithmic Companion presents a systematic treatment of Gröbner bases in several contexts. The book builds up to the theory of Gröbner 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 Gröbner bases and their applications to the construction of universal enveloping algebras; Gröbner bases for shuffle algebras which can be used to solve questions about combinatorics of permutations; and operadic Gröbner bases, important for applications to algebraic topology, and homological and homotopical algebra.
The last chapters of the book combine classical commutative Gröbner 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.
383 pages, 18 black & white illustrations
| メディア | 書籍 Hardcover Book (ハードカバー付きの本) |
| リリース済み | 2016年4月5日 |
| ISBN13 | 9781482248562 |
| 出版社 | Taylor & Francis Inc |
| ページ数 | 365 |
| 寸法 | 236 × 159 × 28 mm · 680 g |
| 言語 | 英語 |
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