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pro vyhledávání: '"Brubaker, Ben"'
Autor:
Brubaker, Ben, Dasher, A. Suki, Hu, Michael, Jain, Nupur, Li, Yifan, Lin, Yi, Mihaila, Maria, Tran, Van, Ünel, I. Deniz
We use algebraic methods in statistical mechanics to represent a multi-parameter class of polynomials in severable variables as partition functions of a new family of solvable lattice models. The class of polynomials, defined by A.N. Kirillov, is der
Externí odkaz:
http://arxiv.org/abs/2410.07960
Autor:
Addona, Patrick, Bockenhauer, Ethan, Brubaker, Ben, Cauthorn, Michael, Conefrey-Shinozaki, Cianan, Donze, David, Dudarov, William, Dukes, Jessamyn, Hardt, Andrew, Li, Cindy, Li, Jigang, Liu, Yanli, Puthanveetil, Neelima, Qudsi, Zain, Simons, Jordan, Sullivan, Joseph, Young, Autumn
Given an arbitrary choice of two sets of nonzero Boltzmann weights for $n$-color lattice models, we provide explicit algebraic conditions on these Boltzmann weights which guarantee a solution (i.e., a third set of weights) to the Yang-Baxter equation
Externí odkaz:
http://arxiv.org/abs/2212.06404
Recent works have sought to realize certain families of orthogonal, symmetric polynomials as partition functions of well-chosen classes of solvable lattice models. Many of these use Boltzmann weights arising from the trigonometric six-vertex model $R
Externí odkaz:
http://arxiv.org/abs/2210.13174
We construct a family of solvable lattice models whose partition functions include $p$-adic Whittaker functions for general linear groups from two very different sources: from Iwahori-fixed vectors and from metaplectic covers. Interpolating between t
Externí odkaz:
http://arxiv.org/abs/2112.14670
In this paper we compute new values of Iwahori Whittaker functions on $n$-fold metaplectic covers $\widetilde{G}$ of $\mathbf{G}(F)$ with $\mathbf{G}$ a split reductive group over a non-archimedean local field $F$. For every Iwahori Whittaker functio
Externí odkaz:
http://arxiv.org/abs/2012.15778
We introduce families of two-parameter multivariate polynomials indexed by pairs of partitions $v,w$ -- biaxial double $(\beta,q)$-Grothendieck polynomials -- which specialize at $q=0$ and $v=1$ to double $\beta$-Grothendieck polynomials from torus-e
Externí odkaz:
http://arxiv.org/abs/2007.04310
Akademický článek
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We give a recursive method for computing all values of a basis of Whittaker functions for unramified principal series invariant under an Iwahori or parahoric subgroup of a split reductive group $G$ over a nonarchimedean local field $F$. Structures in
Externí odkaz:
http://arxiv.org/abs/1906.04140
Type A Demazure atoms are pieces of Schur functions, or sets of tableaux whose weights sum to such functions. Inspired by colored vertex models of Borodin and Wheeler, we will construct solvable lattice models whose partition functions are Demazure a
Externí odkaz:
http://arxiv.org/abs/1902.01795