5 Citations
Refined Littlewood identity for spin Hall-Littlewood symmetric rational functions
- Mathematics
- 2021
Fully inhomogeneous spin Hall–Littlewood symmetric rational functions Fλ are multiparameter deformations of the classical Hall–Littlewood symmetric polynomials and can be viewed as partition…
Representation theoretic interpretation and interpolation properties of inhomogeneous spin $q$-Whittaker polynomials
- Mathematics
- 2022
. We establish new properties of inhomogeneous spin q -Whittaker polynomials, which are symmetric polynomials generalizing t = 0 Macdonald polynomials. We show that these polynomials are defined in…
Domain Walls in the Heisenberg-Ising Spin-1/2 Chain
- Mathematics
- 2022
In this paper we obtain formulas for the distribution of the left-most up-spin in the HeisenbergIsing spin-1/2 chain with anisotropy parameter ∆, also known as the XXZ spin-1/2 chain, on the…
Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions
- MathematicsNuclear Physics B
- 2021
Inhomogeneous spin $q$-Whittaker polynomials
- Mathematics
- 2021
We introduce and study an inhomogeneous generalization of the spin q-Whittaker polynomials from [BW17]. These are symmetric polynomials, and we prove a branching rule, skew dual and non-dual Cauchy…
References
SHOWING 1-10 OF 56 REFERENCES
Refined Littlewood identity for spin Hall-Littlewood symmetric rational functions
- Mathematics
- 2021
Fully inhomogeneous spin Hall–Littlewood symmetric rational functions Fλ are multiparameter deformations of the classical Hall–Littlewood symmetric polynomials and can be viewed as partition…
Stable spin Hall-Littlewood symmetric functions, combinatorial identities, and half-space Yang-Baxter random field
- Mathematics
- 2021
Abstract. Stable spin Hall-Littlewood symmetric polynomials labeled by partitions were recently introduced by Borodin and Wheeler in the context of higher spin six vertex models, which are…
Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons
- Mathematics
- 2015
Higher spin six vertex model and symmetric rational functions
- Mathematics
- 2016
We consider a fully inhomogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height function and…
Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures
- Mathematics
- 2014
We prove two identities of Hall–Littlewood polynomials, which appeared recently in Betea and Wheeler (2014). We also conjecture, and in some cases prove, new identities which relate infinite sums of…
YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
- MathematicsForum of Mathematics, Sigma
- 2019
Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$ . Combining these moves leads to a…
Symmetric polynomials, generalized Jacobi-Trudi identities andτ-functions
- MathematicsJournal of Mathematical Physics
- 2018
An element [Φ]∈GrnH+,F of the Grassmannian of n-dimensional subspaces of the Hardy space H+=H2, extended over the field F = C(x1, …, xn), may be associated to any polynomial basis ϕ = {ϕ0, ϕ1, ⋯ }…
Bisymmetric functions, Macdonald polynomials and $\mathfrak {sl}_3$ basic hypergeometric series
- MathematicsCompositio Mathematica
- 2008
Abstract A new type of $\mathfrak {sl}_3$ basic hypergeometric series based on Macdonald polynomials is introduced. Besides a pair of Macdonald polynomials attached to two different sets of…