Fetching the paper…
Reading the bibliography…
We introduce a q-weighted version of the Robinson-Schensted (column insertion) algorithm which is closely connected to q-Whittaker functions (or Macdonald polynomials with t=0) and reduces to the usual Robinson-Schensted algorithm when q=0.
On representations of the symmetric group
G. de B. Robinson · 1938
Earlier work this paper cites.
Longest increasing and decreasing subsequences
C. Schensted · 1961
Earlier work this paper cites.
Permutations, matrices and generalized Young tableaux
D.E. Knuth · 1970
Earlier work this paper cites.
Relativistic Toda systems
S. Ruijsenaars · 1990
Earlier work this paper cites.
Young Tableaux
W. Fulton · 1997
Earlier work this paper cites.
Symmetric Functions and Hall Polynomials
I. MacDonald · 1998
Earlier work this paper cites.
Exact results for one-dimensional totally asymmetric diffusion models
T. Sasamoto and M. Wadati · 1998
Earlier work this paper cites.
Longest increasing subsequences: From patience sorting to the Baik-Deift-Johansson theorem
D. Aldous and P. Diaconis · 1999
Earlier work this paper cites.
On the distribution of the length of the longest increasing subsequence of random permutations
J. Baik, P. Deift, and K. Johansson · 1999
Earlier work this paper cites.
Whittaker functions on quantum groups and q-deformed toda operators
P. Etingof · 1999
Earlier work this paper cites.
Systems of Calogero-Moser type
S. Ruijsenaars · 1999
Earlier work this paper cites.
The Symmetric Group
B. Sagan · 2000
Earlier work this paper cites.
Introduction to tropical combinatorics
A.N. Kirillov · 2001
Cited alongside, same era.
Ubiquity of Kostka polynomials
A.N. Kirillov · 2001
Cited alongside, same era.
Infinite wedge and random partitions
A. Okounkov · 2001
Cited alongside, same era.
Enumerative Combinatorics
Richard Stanley · 2001
Cited alongside, same era.
C. Tracy and H. Widom. On the distributions of the lengths of the longest monotone subsequences in random words Probab. Th. Rel. Fields
2001
Cited alongside, same era.
Conditioned random walks and the RSK correspondence
N. O’Connell · 2003
Cited alongside, same era.
Littelmann paths and Brownian paths
2010
Later among the works it cites.
On q-deformed 𝔤 𝔩 ℓ + 1 {\mathfrak{gl}_{\ell+1}} -Whittaker function III
A. Gerasimov, D. Lebedev, and S. Oblezin · 2011
Later among the works it cites.
A. Ram and M. Yip. A combinatorial formula for Macdonald polynomials. Adv. Math
2011
Later among the works it cites.
M. Balázs, J. Komjáthy and T. Seppäläinen. Microscopic concavity and fluctuation bounds in a class of deposition processes. Annales de L’Institut Henri Poincaré - Probabilités Et Statistiques
2012
Closest in time.
S. Berg. A quantum algorithm for the quantum Schur-Weyl transform · 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Biane, P. Bougerol, and N. O’Connell · 2005
Cited alongside, same era.
Interpretations of some parameter dependent generalizations of classical matrix ensembles
P. Forrester and E. Rains · 2005
Cited alongside, same era.
J. Haglund, M. Haiman and N. Loehr. A combinatorial formula for Macdonald polynomials. J. Amer. Math. Soc
2005
Cited alongside, same era.
Continuous crystals and Duistermaat-Heckman measure for Coxeter groups
P. Biane, P. Bougerol, and N. O’Connell · 2009
Cited alongside, same era.
C. Lenart. On Combinatorial Formulas for Macdonald Polynomials. Adv. Math
2009
Cited alongside, same era.
On q-deformed 𝔤 𝔩 ℓ + 1 {\mathfrak{gl}_{\ell+1}} -Whittaker function I
A. Gerasimov, D. Lebedev, and S. Oblezin · 2010
Cited alongside, same era.
Closest in time.
Modèle de Littelmann pour cristaux géométriques, fonctions de Whittaker sur des groupes de Lie et mouvement brownien
R. Chhaibi · 2012
Closest in time.
On a classical limit of q q -deformed Whittaker functions
A. Gerasimov, D. Lebedev, and S. Oblezin · 2012
Closest in time.
Random walks in Weyl chambers and crystals
C. Lecouvey, E. Lesigne, and M. Peigné · 2012
Closest in time.
C. Lenart and A. Lubovsky. A generalization of the alcove model and its applications. 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 875–886, Discrete Math. Theor. Comput. Sci. Proc
2012
Closest in time.
Directed polymers and the quantum Toda lattice
N. O’Connell · 2012
Closest in time.
A. Schilling and P. Tingley. Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function. Electronic Journal of Combinatorics
2012
Closest in time.
C. Lenart and A. Schilling. Crystal energy functions via the charge in types A and C. Mathematische Zeitschrift
2013
Closest in time.