Buch, Englisch, Band 192, 623 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1133 g
Reihe: Progress in Mathematics
Buch, Englisch, Band 192, 623 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1133 g
Reihe: Progress in Mathematics
ISBN: 978-3-7643-6343-7
Verlag: Springer
This is the award-winning monograph of the Sunyer i Balaguer Prize 1999. The book presents recently discovered connections between Artin’s braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz). Although not a comprehensive course, the exposition is self-contained, and many basic results are established. In particular, the first chapters include a thorough algebraic study of Artin’s braid groups.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
A: Ordering the Braids.- I. Braids vs. Self-Distributive Systems.- II. Word Reversing.- III. The Braid Order.- IV. The Order on Positive Braids.- B: Free LD-systems.- V. Orders on Free LD-systems.- VI. Normal Forms.- VII. The Geometry Monoid.- VIII. The Group of Left Self-Distributivity.- IX. Progressive Expansions.- C: Other LD-Systems.- X. More LD-Systems.- XI. LD-Monoids.- XII. Elementary Embeddings.- XIII. More about the Laver Tables.- List of Symbols.
