Alain Lascoux
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French mathematician
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Alain Lascouxmathematics Degrees
Mathematics
#1535
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#2501
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Measure Theory
#3363
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#3972
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Mathematics
Alain Lascoux's Degrees
- PhD Mathematics Paris-Saclay University
Why Is Alain Lascoux Influential?
(Suggest an Edit or Addition)According to Wikipedia, Alain Lascoux was a French mathematician at Université de Paris VII, University of Marne la Vallée and Nankai University. His research was primarily in algebraic combinatorics, particularly Hecke algebrass and Young tableaux.
Alain Lascoux's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Noncommutative symmetric functions (1994) (519)
- Noncommutative Symmetrical Functions (1995) (462)
- Hecke algebras at roots of unity and crystal bases of quantum affine algebras (1996) (383)
- Symmetric Functions and Combinatorial Operators on Polynomials (2003) (286)
- Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties (1995) (243)
- Schubert polynomials and the Littlewood-Richardson rule (1985) (143)
- Symmetry and flag manifolds (1983) (121)
- Tableau atoms and a new Macdonald positivity conjecture Duke Math J (2000) (114)
- The Plactic Monoid (2002) (105)
- A Pieri formula in the Grothendieck ring of a flag bundle (1994) (80)
- Classes of Determinantal Varieties Associated with Symmetric and Skew-Symmetric Matrices (1982) (77)
- Vertex Operators and the Class Algebras of Symmetric Groups (2001) (63)
- Double Crystal Graphs (2003) (56)
- Keys & Standard Bases (1990) (55)
- Ribbon Schur Functions (1988) (54)
- On Giambelli's theorem on complete correlations (1989) (53)
- SYMMETRICA, an Object Oriented Computer-Algebra System for the Symmetric Group (1992) (50)
- Determinantal Expression and Recursion for Jack Polynomials (1999) (49)
- TRANSITION ON GROTHENDIECK POLYNOMIALS (2001) (43)
- Green Polynomials and Hall-Littlewood Functions at Roots of Unity (1994) (42)
- Ordering the Affine Symmetric Group (2001) (40)
- Euler-Poincare Characteristic and Polynomial Representations of Iwahori-Hecke Algebras (1995) (38)
- q-identities from Lagrange and Newton interpolation (2002) (37)
- Tableaux and noncommutative Schubert polynomials (1989) (35)
- Symmetrization operators on polynomial rings (1987) (34)
- Flag Varieties and the Yang-Baxter Equation (1996) (32)
- Operator Calculus forQ̃-Polynomials and Schubert Polynomials (1998) (31)
- Double Sylvester sums for subresultants and multi-Schur functions (2003) (30)
- Determinantal expressions for Macdonald polynomials (1998) (26)
- S-function series (1988) (25)
- Linear extension sums as valuations on cones (2010) (22)
- Degree of the dual of a grassman variety (1981) (22)
- Branching rules for symmetric functions and sln basic hypergeometric series (2011) (21)
- Non-symmetric Cauchy kernels for the classical groups (2006) (21)
- Inversion des matrices de Hankel (1990) (20)
- Jacobians of Symmetric Polynomials (2002) (20)
- q-Identities Related to Overpartitions and Divisor Functions (2004) (19)
- Square-Ice Enumeration (2001) (19)
- Finite sum Cauchy identity for dual Grothendieck polynomials (2014) (19)
- Yang-Baxter Graphs, Jack and Macdonald Polynomials (2001) (19)
- Factorization of Kazhdan–Lusztig Elements for Grassmanians (1999) (18)
- Pfaffians and representations of the symmetric group (2006) (18)
- Orthogonal divided differences and Schubert polynomials, P̃-functions, and vertex operators. (2000) (18)
- The 6 Vertex Model and Schubert Polynomials (2006) (16)
- The singular locus of a Schubert variety (2003) (16)
- Nonsymmetric interpolation macdonald polynomials and $ \mathfrak{g}\mathfrak{l}_n $ basic hypergeometric series (2009) (15)
- Continued Fractions for Rogers–Szegö Polynomials (2004) (14)
- Deformed Kazhdan-Lusztig elements and Macdonald polynomials (2010) (14)
- Turbo-Straightening for Decomposition into Standard Bases (1992) (13)
- Noncommutative symmetric functions with matrix parameters (2011) (12)
- Addition of $\pm 1$: Application to Arithmetic (2004) (12)
- Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series (2008) (12)
- Constant term identities and poincaré polynomials (2012) (12)
- Schubert polynomials: a historic approach (1995) (11)
- COHOMOLOGY OF SCHUBERT SUBVARIETIES OF GLN/P (1992) (11)
- ADDING ±1 TO THE ARGUMENT OF A HALL-LITTLEWOOD POLYNOMIAL (2007) (11)
- Twisted action of the symmetric group on the cohomology of a flag manifold (1996) (10)
- Gaudin functions, and Euler-Poincaré characteristics (2007) (10)
- Schur Q -Functions and Degeneracy Locus Formulas for Morphisms with Symmetries (1999) (10)
- Schubert and Macdonald Polynomials , a parallel (2008) (10)
- Decompositions in divided difference algebra (1992) (10)
- Addition of (cid:6) 1 : Application to Arithmetic (2004) (9)
- Non-Symmetric Hall-Littlewood Polynomials (2006) (9)
- Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters (2001) (9)
- Wroński's factorization of polynomials (1990) (8)
- The Hecke algebra and structure constants of the ring of symmetric polynomials (2006) (8)
- Branching rules for symmetric Macdonald polynomials and sl_n basic hypergeometric series (2009) (7)
- Classes De Chern (1970) (6)
- Factorizations in Schubert Cells (2000) (6)
- A Newton type rational interpolation formula (2008) (6)
- A New Statistics on Words (1980) (5)
- Bezoutians, Euclidean Algorithm, and Orthogonal Polynomials (2005) (5)
- Evaluation of some Hankel determinants (2005) (5)
- Cohomology of Schubert subvarieties of $GL_{\mathcal{n}}P$ (1992) (5)
- LITTLEWOOD'S FORMULAS FOR CHARACTERS OF ORTHOGONAL AND SYMPLECTIC GROUPS (2003) (5)
- Partition analysis and symmetrizing operators (2004) (4)
- Polynomial Representations of the Hecke Algebra of the Symmetric Group (2013) (4)
- Young's natural idempotents as polynomials (1997) (4)
- Some composition determinants (2005) (4)
- Logarithmic and complex constant term identities (2011) (4)
- An involution for the Gauss identity (2003) (4)
- Motzkin paths and powers of continued fractions. (2000) (3)
- YOUNGS'S REPRESENTATIONS OF THE SYMMETRIC GROUP (2001) (3)
- Sylvester's bijection between strict and odd partitions (2004) (3)
- Divided differences and ideals generated by symmetric polynomials (1994) (3)
- The differential equation satisfied by a plane curve of degree n (2006) (2)
- TABLEAU ATOMS AND A NEW MACDONALD POSITIVITY (2002) (2)
- An edge-weighted hook formula for labelled trees (2013) (2)
- Hankel Pfaffians, Discriminants and Kazhdan-Lusztig bases (2011) (2)
- Algebraic combinatorics with Maple and ACE (1997) (2)
- A filtration of the symmetric function space and a refinement of the Macdonald positivity conjecture (2000) (1)
- Noncommutative symmetric functions with matrix parameters (extended abstract) (2012) (1)
- The plactic algebra (2003) (1)
- The Algebra of Quasi-Symmetric Functions Is Free over the Integers (2001) (1)
- Rational Interpolation and Basic Hypergeometric Series (2004) (1)
- Adding \pm 1 to the argument of an Hall-Littlewood polynomial (2007) (1)
- Wrońskian of Symmetric Functions (2012) (1)
- A question of Muir and Littlewood’s products (2007) (1)
- A pr 2 01 3 CONSTANT TERM IDENTITIES AND POINCARÉ POLYNOMIALS (0)
- O ct 2 00 5 SOME COMPOSITION DETERMINANTS (2005) (0)
- Surfaces De Riemann (1970) (0)
- About Division by 1 (2001) (0)
- Solutions of exercises (2003) (0)
- GENERALIZATION OF SCOTT'S PERMANENT IDENTITY (2010) (0)
- How many alphabets can a Schur function accommodate (2012) (0)
- Theoreme De Kodaira (1970) (0)
- Pfaffians and Representations of the Symmetric Group Alain Lascoux (2019) (0)
- The ring of polynomials as a module over symmetric ones (2003) (0)
- Symmetric functions as operators and -rings (2003) (0)
- Fe b 19 99 Factorization of Kazhdan – Lusztig elements for Grassmanians (2008) (0)
- KOSTKA-FOULKES POLYNOMIALS AND CRYSTAL GRAPHS OF QUANTUM GROUPS OF TYPE A(N) (1995) (0)
- Reciprocal differences and continued fractions (2003) (0)
- Idempotents with polynomial coefficients (2010) (0)
- Noncommutative symmetric functions with matrix parameters (2012) (0)
- A notable identity in the theory of partitions (2000) (0)
- 2 N ov 2 00 5 SOME COMPOSITION DETERMINANTS (2005) (0)
- Generalisation of Scott permanent identity (2010) (0)
- Tableaux and Eulerian properties of the symmetric group (2016) (0)
- Linear extension sums as valuations on cones (2011) (0)
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