Bidiagonal triads and the tetrahedron algebra
From MaRDI portal
Publication:5080228
DOI10.1080/00927872.2022.2033984zbMath1496.15001arXiv2107.06408OpenAlexW4213416624MaRDI QIDQ5080228
Publication date: 31 May 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.06408
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Eigenvalues, singular values, and eigenvectors (15A18) Infinite-dimensional Lie (super)algebras (17B65) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Billiard arrays and finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules
- An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs
- Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\)
- Bidiagonal triples
- Tridiagonal pairs of \(q\)-Racah type
- The tetrahedron algebra and its finite-dimensional irreducible modules
- The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
- Upper triangular matrices and billiard arrays
- Tridiagonal pairs and the \(q\)-tetrahedron algebra
- Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra
- Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules
- Hypercube and tetrahedron algebra
- Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).
- Tridiagonal pairs of Krawtchouk type
- The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
- Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view
- ONSAGER ALGEBRA AND INTERGRABLE LATTICE MODELS
- A bidiagonal and tridiagonal linear map with respect to eigenbases of equitable basis ofsl2
- The universal central extension of the three-point $\mathfrak {sl}_2$ loop algebra
- TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS
- Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case
- The structure of quotients of the Onsager algebra by closed ideals *
- The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view
- BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩2, AND THE QUANTUM GROUP Uq(𝔰𝔩2)
- Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
- Irreducible finite-dimensional representations of equivariant map algebras
- Theq-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules
- The $S_4$-action on tetrahedron algebra
- Introduction to Lie Algebras and Representation Theory
- Onsager's algebra and superintegrability
- Raising/Lowering Maps and Modules for the Quantum Affine Algebra
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
- Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra