Evan Wilson

activity

20112024

most citedSoliton cellular automaton associated with

G_{2}^{(1)}

crystal base

7 citations · 18 across the 9 of their papers we have counts for

collaborators

9 papers

math.RT2024

Schur-Weyl Duality for Toroidal Algebras of Type $A$

Vyjayanthi Chari, Lauren Grimley, Zongzhu Lin +3

We state and prove an analog of the Schur-Weyl duality for a quotient of the classical $2$ -toroidal Lie algebra of type $A$ . We then provide a method to extend this duality to the…

math.RT2017★ 2 cited

Bases for local Weyl modules for the hyper and truncated current $sl_{2}$ -algebras

Angelo Bianchi, Evan Wilson

We use the theory of Gröbner-Shirshov bases for ideals to construct linear bases for graded local Weyl modules for the (hyper) current and the truncated current algebras associated…

math.QA2014

Quantum affine modules for non-twisted affine Kac-Moody algebras

V. Futorny, J. T. Hartwig, E. A. Wilson

We construct new irreducible weight modules over quantum affine algebras of type I with all weight spaces infinite-dimensional. These modules are obtained by parabolic induction fr…

math.RT2014★ 7 cited

Irreducible completely pointed modules of quantum groups of type $A$

V. Futorny, J. Hartwig, E. Wilson

We give a classification of all irreducible completely pointed $U_{q} (sl_{n + 1})$ modules over a characteristic zero field in which $q$ is not a root of unity. This general…

math.RT2014

Some remarks on Hall algebra of bound quiver

Kostiantyn Iusenko, Evan Wilson

In this paper we describe the twisted Hall algebra of bound quiver with small homological dimension. The description is given in the terms of the quadratic form associated with the…

math.RT2013

Tensor Product Decomposition of $sl^(n)$ Modules and Identities

Kailash C. Misra, Evan A. Wilson

We decompose the $sl^(n)$ -module $V (Λ_{0}) \otimes V (Λ_{i})$ and give generating function identities for the outer multiplicities. In the process we discover some seemi…

math.QA2012★ 2 cited

Soliton cellular automaton associated with $D_{n}^{(1)}$ -crystal $B^{2, s}$

Kailash C. Misra, Evan A. Wilson

A solvable vertex model in ferromagnetic regime gives rise to a soliton cellular automaton which is a discrete dynamical system in which site variables take on values in a finite s…

math.QA2011★ 7 cited

Soliton cellular automaton associated with $G_{2}^{(1)}$ crystal base

Kailash C. Misra, Masato Okado, Evan A. Wilson

We calculate the combinatorial $R$ matrix for all elements of $B_{l} \otimes B_{1}$ where $B_{l}$ denotes the $G_{2}^{(1)}$ -perfect crystal of level $l$ , and t…

math.QA2011

On Tensor Product Decomposition of $sl^(n)$ Modules

Kailash C. Misra, Evan A. Wilson

We decompose the $sl^(n)$ -module $V (Λ_{0}) \otimes V (Λ_{0})$ and give generating function identities for the outer multiplicities. In the process we discover some seemi…

Schur-Weyl Duality for Toroidal Algebras of Type A

Bases for local Weyl modules for the hyper and truncated current sl2​-algebras

Quantum affine modules for non-twisted affine Kac-Moody algebras

Irreducible completely pointed modules of quantum groups of type A

Some remarks on Hall algebra of bound quiver

Tensor Product Decomposition of sl^(n) Modules and Identities

Soliton cellular automaton associated with Dn(1)​-crystal B2,s

Soliton cellular automaton associated with G2(1)​ crystal base

On Tensor Product Decomposition of sl^(n) Modules

Schur-Weyl Duality for Toroidal Algebras of Type $A$

Bases for local Weyl modules for the hyper and truncated current $sl_{2}$ -algebras

Irreducible completely pointed modules of quantum groups of type $A$

Tensor Product Decomposition of $sl^(n)$ Modules and Identities

Soliton cellular automaton associated with $D_{n}^{(1)}$ -crystal $B^{2, s}$

Soliton cellular automaton associated with $G_{2}^{(1)}$ crystal base

On Tensor Product Decomposition of $sl^(n)$ Modules