The structure of quotients of the Onsager algebra by closed ideals *
From MaRDI portal
Publication:4507671
DOI10.1088/0305-4470/33/16/316zbMath0998.17027arXivmath/9911018OpenAlexW2000434513MaRDI QIDQ4507671
Publication date: 8 October 2000
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9911018
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Exactly solvable models; Bethe ansatz (82B23)
Related Items
Introduction to Leonard pairs. ⋮ Tridiagonal pairs of \(q\)-Racah type ⋮ Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra ⋮ ONSAGER'S ALGEBRA AND PARTIALLY ORTHOGONAL POLYNOMIALS ⋮ Bidiagonal triads and the tetrahedron algebra ⋮ The tetrahedron algebra and its finite-dimensional irreducible modules ⋮ Structure of certain Chebyshev-type polynomials in Onsager's algebra representation ⋮ The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra ⋮ Representations of twisted current algebras ⋮ Irreducible finite-dimensional representations of equivariant map algebras ⋮ Extensions of modules for twisted current algebras ⋮ Duality and symmetry in chiral Potts model ⋮ Gröbner–Shirshov Basis for the Onsager and Tetrahedron Algebras ⋮ A new current algebra and the reflection equation ⋮ A classification of sharp tridiagonal pairs ⋮ Mock tridiagonal systems ⋮ Generalized \(q\)-Onsager algebras and boundary affine Toda field theories ⋮ Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules ⋮ Double lowering operators on polynomials ⋮ TD-pairs and the $q$-Onsager algebra ⋮ Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra ⋮ The Onsager algebra symmetry of τ(j)-matrices in the superintegrable chiral Potts model ⋮ Onsager algebra and algebraic generalization of Jordan-Wigner transformation ⋮ On the shape of a tridiagonal pair ⋮ The alternating central extension of the Onsager Lie algebra