Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials
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Publication:6084154
DOI10.1017/fmp.2023.23zbMath1525.05195arXiv2106.11922OpenAlexW4387755517MaRDI QIDQ6084154
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
Publication date: 31 October 2023
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.11922
Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)
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Cites Work
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- Demazure submodules of level-zero extremal weight modules and specializations of Macdonald polynomials
- A \(q\)-weighted version of the Robinson-Schensted algorithm
- Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function
- \(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers
- On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. II
- Stationary stochastic higher spin six vertex model and \(q\)-Whittaker measure
- Robinson-Schensted algorithms for skew tableaux
- Double crystals of binary and integral matrices
- Demazure structure inside Kirillov-Reshetikhin crystals
- Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
- Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture
- Kostka polynomials and energy functions in solvable lattice models
- The generalized Robinson-Schensted algorithm on the affine Weyl group of type \(A_{n-1}\)
- On crystal bases of the \(q\)-analogue of universal enveloping algebras
- Dual equivalence with applications, including a conjecture of Proctor
- On subfield symmetric spaces over a finite field
- On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
- An extension of Schensted's theorem
- A variational problem for random Young tableaux
- A Littlewood-Richardson miscellany
- Finite-dimensional representations of quantum affine algebras
- A \(q\)-series identity involving Schur functions and related topics
- Scale invariance of the PNG droplet and the Airy process
- On the connection between Macdonald polynomials and Demazure characters
- Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
- Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
- Directed random polymers via nested contour integrals
- The periodic Schur process and free fermions at finite temperature
- Matrix-ball construction of affine Robinson-Schensted correspondence
- Double affine Hecke algebras and Macdonald's conjectures
- Algebraic aspects of increasing subsequences
- On level-zero representation of quantized affine algebras.
- Hall-Littlewood functions and Kostka-Foulkes polynomials in representation theory
- Crystal energy functions via the charge in types \(A\) and \(C\)
- Shape fluctuations and random matrices
- Modified Macdonald polynomials and integrability
- Stochastic higher spin six vertex model and \(q\)-TASEPs
- Determinantal structures in the \(q\)-Whittaker measure
- Duality theorems for current groups
- Spin \(q\)-Whittaker polynomials
- New edge asymptotics of skew Young diagrams via free boundaries
- Macdonald processes
- Periodic Schur process and cylindric partitions
- Rogers-Szegő polynomials and Hall-Littlewood symmetric functions
- Permutations, matrices, and generalized Young tableaux
- Crystalizing the q-analogue of universal enveloping algebras
- Half-space stationary Kardar-Parisi-Zhang equation
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- The AM(1) automata related to crystals of symmetric tensors
- Crystal Bases
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Longest Increasing and Decreasing Subsequences
- Arrays and the combinatorics of Young tableaux
- Matrix product formula for Macdonald polynomials
- Canonical Bases Arising from Quantized Enveloping Algebras
- A generalization of MacMahon’s formula
- La correspondance de Robinson
- AFFINE CRYSTALS AND VERTEX MODELS
- On the distribution of the length of the longest increasing subsequence of random permutations
- ENERGY FUNCTIONS IN BOX BALL SYSTEMS
- A combinatorial formula for Macdonald polynomials
- Virtual crystals and fermionic formulas of type 𝐷_{𝑛+1}⁽²⁾, 𝐴_{2𝑛}⁽²⁾, and 𝐶_{𝑛}⁽¹⁾
- Proof of solitonical nature of box and ball systems by means of inverse ultra-discretization
- Bounded Littlewood identities
- HALF-SPACE MACDONALD PROCESSES
- An affine generalization of evacuation
- The directed landscape
- Duality and bicrystals on infinite binary matrices
- Monodromy in Kazhdan-Lusztig cells in affine type A
- New approach to KPZ models through free fermions at positive temperature
