Algebraic combinatorics on words:
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Bibliographic Details
Main Author: Lothaire, M. (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2002
Series:Encyclopedia of mathematics and its applications v. 90
Subjects:
Online Access:FAW01
FAW02
Volltext
Item Description:Includes bibliographical references (p. 473-496) and indexes
Finite and Infinite Words -- - Semigroups -- - Words -- - Automata -- - Generating series -- - Symbolic dynamical systems -- - Unavoidable sets -- - Sturmian Words -- - Equivalent definitions -- - Standard words -- - Sturmian morphisms -- - Unavoidable Patterns -- - Definitions and basic properties -- - Deciding avoidability: the Zimin algorithm -- - Avoidability on a fixed alphabet -- - Sesquipowers -- - Bi-ideal sequences -- - Canonical factorizations -- - Sesquipowers and recurrence -- - Extensions of a theorem of Shirshov -- - Finiteness conditions for semigroups -- - The Plactic Monoid -- - Schensted's algorithm -- - Greene's invariants and the plactic monoid -- - The Robinson--Schensted--Knuth correspondence -- - Schur functions and the Littlewood--Richardson rule -- - Coplactic operations -- - Cyclage and canonical embeddings -- - Codes -- - X-factorizations -- - Defect -- - More defect -- - A theorem of Schutzenberger -- - Numeration Systems -- - Standard representation of numbers -- - Beta-expansions -- - U-representations -- - Representation of complex numbers -- - Periodicity -- - Periods in a finite word -- - Local versus global periodicity -- - Infinite words -- - Centralizers of Noncommutative Series and Polynomials -- - Cohn's centralizer theorem -- - Euclidean division and principal right ideals -- - Integral closure of the centralizer -- - Homomorphisms into k[t] -- - Bergman's centralizer theorem -- - Free subalgebras and the defect theorem -- - Appendix: some commutative algebra -- - Transformations on Words and q-Calculus -- - The q-binomial coefficients -- - The MacMahon Verfahren
Physical Description:1 Online-Ressource (xiii, 504 p.)
ISBN:0521812208
1107089557
110732601X
9780521812207
9781107089556
9781107326019

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