Braids and Self-Distributivity (Progress in Mathematics, 192)
Dehornoy, Patrick
ISBN 10: 3764363436 ISBN 13: 9783764363437
Editore: Birkhäuser, 2000
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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.
Recensione:
"In this book...P. Dehornoy has accomplished with remarkable success the task of presenting the area of interaction where Artin’s braid groups, left self-distributive systems (LD-systems) and set theory come together in a rigorous and clear manner...The exposition is self-contained and there are no prerequisites. A number of basic results about braid groups, self-distributive algebras, and set theory are provided."
--Mathematical Reviews
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Titolo: Braids and Self-Distributivity (Progress in ...
Casa editrice: Birkhäuser
Data di pubblicazione: 2000
Legatura: Rilegato
Condizione: New
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Braids and Self-Distributivity (Progress in Mathematics, 192, Band 192).
Editore:
Basel. Birkhäuser Verlag., 2000
ISBN 10: 3764363436
ISBN 13: 9783764363437
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Karton. Condizione: Sehr gut. Zust: Gutes Exemplar. 623, Seiten, mit Abbildungen, Englisch 1230g. Codice articolo 494634
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Braids and self-distributivity. Progress in Mathematics; Vol. 192.
Editore:
Basel, Birkhauser Verlag, 2000
ISBN 10: 3764363436
ISBN 13: 9783764363437
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Hardcover. XIX, 623 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04294 9783764363437 Sprache: Englisch Gewicht in Gramm: 1150. Codice articolo 2490524
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Braids and Self-Distributivity
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Braids and Self-Distributivity (Progress in Mathematics, 192)
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Condizione: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Codice articolo Z1-M-009-02200
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Braids and Self-Distributivity
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Buch. Condizione: Neu. Braids and Self-Distributivity | Patrick Dehornoy | Buch | xix | Englisch | 2000 | Birkhäuser | EAN 9783764363437 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 101955627
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Braids and Self-Distributivity (Progress in Mathematics, 192)
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Condizione: New. Codice articolo ABLIING23Apr0316110058945
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of their connection with many fields, such as knot theory, algebraic combinatorics, quantum groups and the Yang-Baxter equation, etc. LD-systems have also been considered for several decades: early examples are mentioned in the beginning of the 20th century, and the first general results can be traced back to Belousov in the 1960s. The existence of a connection between braids and left self-distributivity has been observed and used in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the connection is already implicit in (Hurwitz 1891). The results we shall concentrate on here rely on a new approach developed in the late 1980s and originating from set theory. Codice articolo 9783764363437
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Braids and Self-Distributivity
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Springer, Basel, Birkhäuser Basel, Birkhäuser Jul 2000, 2000
ISBN 10: 3764363436
ISBN 13: 9783764363437
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of their connection with many fields, such as knot theory, algebraic combinatorics, quantum groups and the Yang-Baxter equation, etc. LD-systems have also been considered for several decades: early examples are mentioned in the beginning of the 20th century, and the first general results can be traced back to Belousov in the 1960s. The existence of a connection between braids and left self-distributivity has been observed and used in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the connection is already implicit in (Hurwitz 1891). The results we shall concentrate on here rely on a new approach developed in the late 1980s and originating from set theory. 623 pp. Englisch. Codice articolo 9783764363437
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Braids and Self-Distributivity
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Birkhäuser Basel, Birkhäuser Basel Jul 2000, 2000
ISBN 10: 3764363436
ISBN 13: 9783764363437
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Buch. Condizione: Neu. Neuware -The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of their connection with many fields, such as knot theory, algebraic combinatorics, quantum groups and the Yang-Baxter equation, etc. LD-systems have also been considered for several decades: early examples are mentioned in the beginning of the 20th century, and the first general results can be traced back to Belousov in the 1960s. The existence of a connection between braids and left self-distributivity has been observed and used in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the connection is already implicit in (Hurwitz 1891). The results we shall concentrate on here rely on a new approach developed in the late 1980s and originating from set theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 652 pp. Englisch. Codice articolo 9783764363437
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