Lascoux, Alain
Overview
Works:  32 works in 91 publications in 5 languages and 977 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Opponent, Honoree 
Publication Timeline
.
Most widely held works about
Alain Lascoux
Most widely held works by
Alain Lascoux
Variétés Kähleriennes compactes by
Alain Lascoux(
Book
)
27 editions published in 1970 in 5 languages and held by 563 WorldCat member libraries worldwide
27 editions published in 1970 in 5 languages and held by 563 WorldCat member libraries worldwide
Symmetric functions and combinatorial operators on polynomials by
Alain Lascoux(
Book
)
14 editions published between 2001 and 2004 in English and held by 270 WorldCat member libraries worldwide
The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With \lambdarings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of \lambdarings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Padé approximants, and orthogonal polynomials. Putting the emphasis on the sym
14 editions published between 2001 and 2004 in English and held by 270 WorldCat member libraries worldwide
The theory of symmetric functions is an old topic in mathematics, which is used as an algebraic tool in many classical fields. With \lambdarings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of \lambdarings. The main applications of this technique to the theory of symmetric functions are related to the Euclid algorithm and its occurrence in division, continued fractions, Padé approximants, and orthogonal polynomials. Putting the emphasis on the sym
Séminaire sur l'equivalence rationnelle : ParisOrsay, 1971 by
Pierre Samuel(
Book
)
4 editions published between 1971 and 1972 in French and held by 40 WorldCat member libraries worldwide
4 editions published between 1971 and 1972 in French and held by 40 WorldCat member libraries worldwide
Variétés kählériennes; séminaire donné au Centre de mathématiques en 1968 by
Marcel Berger(
Book
)
6 editions published in 1969 in French and English and held by 24 WorldCat member libraries worldwide
6 editions published in 1969 in French and English and held by 24 WorldCat member libraries worldwide
Tableaux de Young et foncteurs de Schur en algèbre et géométrie = tablice Younga i funktory Schura w algebrze i geometrii
: conférence international, Torún, Pologne, 27 août  3 septembre, 1980 by
Alain Lascoux(
Book
)
4 editions published in 1981 in French and held by 24 WorldCat member libraries worldwide
4 editions published in 1981 in French and held by 24 WorldCat member libraries worldwide
Factorizations in Schubert cells by
Christian Kassel(
Book
)
3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
The singular locus of a Schubert variety by
Christian Kassel(
Book
)
2 editions published in 2001 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 5 WorldCat member libraries worldwide
Divided differences and ideals generated by symmetric polynomials by
Alain Lascoux(
Book
)
2 editions published in 1991 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 5 WorldCat member libraries worldwide
Schubert varieties : geometry, algebra and combinatorics ; 31.03.  05.04.1997(
Book
)
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Formulaire raisonné de fonctions symétriques by
Alain Lascoux(
Book
)
1 edition published in 1985 in French and held by 4 WorldCat member libraries worldwide
1 edition published in 1985 in French and held by 4 WorldCat member libraries worldwide
Géométrie analytique cours professé en 19661967 by
Adrien Douady(
Book
)
1 edition published in 1967 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 1967 in French and held by 3 WorldCat member libraries worldwide
Symmetry and flag manifolds by
Alain Lascoux(
Book
)
4 editions published in 1982 in English and Swedish and held by 3 WorldCat member libraries worldwide
4 editions published in 1982 in English and Swedish and held by 3 WorldCat member libraries worldwide
Variétés Kähleriennes Compactes by
Marcel Berger(
)
2 editions published between 1970 and 2011 in Undetermined and English and held by 3 WorldCat member libraries worldwide
2 editions published between 1970 and 2011 in Undetermined and English and held by 3 WorldCat member libraries worldwide
MarcelPaul Schützenberger oeuvres complètes by
Marcel P Schützenberger(
Book
)
1 edition published in 2009 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 2009 in French and held by 3 WorldCat member libraries worldwide
Variétés Kähleriennes Compactes by Lascoux(
)
1 edition published in 1970 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1970 in Undetermined and held by 2 WorldCat member libraries worldwide
Fonctions sur l'ensemble des diagrammes de Young : caractères du groupe symétrique et polynômes de Kerov by
Valentin Feray(
)
1 edition published in 2009 in French and held by 2 WorldCat member libraries worldwide
The main object of this thesis is the (normalized) irreducible character values of the symmetric group, seen as a function of the partition indexing the representation (and not of the permutation on which we compute the character value). With a good rescaling, the characters can be written as polynomials in socalled Stanley coordinates or in terms of free cumulants (the latter are observables of the diagram, which appear naturally in the asymptotics study of character values). We give a combinatorial interpretation for the coefficients of these two expressions. More precisely, the summans are indexed by maps, whose genus is linked with their asymptotic behaviour. This kind of expression is very useful to obtain asymptotic results : for example, one has given upper bounds on character values and enlarged the domain of validity of some known equivalents. Moreover, the combinatorics involved in these questions is interesting and has been applied to identities on rational functions
1 edition published in 2009 in French and held by 2 WorldCat member libraries worldwide
The main object of this thesis is the (normalized) irreducible character values of the symmetric group, seen as a function of the partition indexing the representation (and not of the permutation on which we compute the character value). With a good rescaling, the characters can be written as polynomials in socalled Stanley coordinates or in terms of free cumulants (the latter are observables of the diagram, which appear naturally in the asymptotics study of character values). We give a combinatorial interpretation for the coefficients of these two expressions. More precisely, the summans are indexed by maps, whose genus is linked with their asymptotic behaviour. This kind of expression is very useful to obtain asymptotic results : for example, one has given upper bounds on character values and enlarged the domain of validity of some known equivalents. Moreover, the combinatorics involved in these questions is interesting and has been applied to identities on rational functions
Special issue In honour of Alain Lascoux on the occasion of his 60th birthday(
Book
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
Polynômes symétriques, foncteurs de Schur et grassmanniennes by
Alain Lascoux(
Book
)
1 edition published in 1977 in French and held by 2 WorldCat member libraries worldwide
1 edition published in 1977 in French and held by 2 WorldCat member libraries worldwide
Études combinatoires du tableau d'Euler sur les produits en couronne by
Hilarion Faliharimalala(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
In the last two decades, much effort has been made to extend various enumerative results on symmetric groups to other more general groups. The main objective of this thesis is to extend to wreath products the results that concern the Euler's difference table. It is divided into five chapters. Euler's difference table associated to the sequence {n!} leads naturally to the counting formula for the derangements. In the first two chapters, we study Euler's difference table associated to the sequence {rnn!} and the generalized derangement problem. For the coefficients appearing in the later table, we give the combinatorial interpretations in terms of ksuccessions on wreath products. Clarke et al. introduced a qanalogue of Euler's difference table on symmetric group. In the third chapter, we extend their results to wreath products. By generalizing their bijection, we prove the equidistribution of the triple statistics "(fix, exc, fmaj)" and "(fix, exc, fmaf)" on wreath products, where "fmaf" is a new mahonian statistic on wreath products. On the other hand, Foata and Han have recently constructed two new transformations. We prove in fourth chapter that their two bijections provide a factorization of Clarke et al.'s bijection. In the fifth chapter we give an extension of Foata's second fundamental transformation on rcolored words. We show that the bistatistics "(fmaj , des*)" and "(finv , col)" are equidistributed on wreath products, where "col" is the sum of color and "des*" a new statistic
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
In the last two decades, much effort has been made to extend various enumerative results on symmetric groups to other more general groups. The main objective of this thesis is to extend to wreath products the results that concern the Euler's difference table. It is divided into five chapters. Euler's difference table associated to the sequence {n!} leads naturally to the counting formula for the derangements. In the first two chapters, we study Euler's difference table associated to the sequence {rnn!} and the generalized derangement problem. For the coefficients appearing in the later table, we give the combinatorial interpretations in terms of ksuccessions on wreath products. Clarke et al. introduced a qanalogue of Euler's difference table on symmetric group. In the third chapter, we extend their results to wreath products. By generalizing their bijection, we prove the equidistribution of the triple statistics "(fix, exc, fmaj)" and "(fix, exc, fmaf)" on wreath products, where "fmaf" is a new mahonian statistic on wreath products. On the other hand, Foata and Han have recently constructed two new transformations. We prove in fourth chapter that their two bijections provide a factorization of Clarke et al.'s bijection. In the fifth chapter we give an extension of Foata's second fundamental transformation on rcolored words. We show that the bistatistics "(fmaj , des*)" and "(finv , col)" are equidistributed on wreath products, where "col" is the sum of color and "des*" a new statistic
Œuvres complètes by
Marcel P Schützenberger(
Book
)
1 edition published in 2009 in French and held by 1 WorldCat member library worldwide
1 edition published in 2009 in French and held by 1 WorldCat member library worldwide
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Related Identities
 Berger, Marcel 1927 Author
 Samuel, Pierre 1921 Author
 SpringerLink (Service en ligne)
 Józefiak, Tadeusz Author Editor
 Pragacz, Piotr
 Schützenberger, Marcel P. Author
 Kassel, Christian Author
 Reutenauer, Christophe
 Conference Board of the Mathematical Sciences (U.S.)
 Université Paris Diderot  Paris 7 Degree grantor
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Associated Subjects
Algebra Algebraic varieties Calculus of variations Cell aggregationMathematics Combination (Linguistics) Formal languages Functor theory Geometry Geometry, Algebraic Geometry, Differential Group theory Information theory Kählerian structures Linear algebraic groups Mathematics Polynomials Rational equivalence (Algebraic geometry) Representations of groups Riemann surfaces Rings (Algebra) Symmetric functions Symmetry groups
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Alternative Names
Alain Lascoux Frans wiskundige (19442013)
Alain Lascoux fransk matematikar
Alain Lascoux fransk matematiker
Alain Lascoux französischer Mathematiker
Alain Lascoux French mathematician
Alain Lascoux matemático francés
Lascoux, A.
Lascoux, Alain
Алэн Ласку французский математик
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