On the representation theory of the infinite Temperley–Lieb algebra
DOI10.1142/S0219498821502054zbMath1479.17030arXiv1904.12301MaRDI QIDQ5163439
Publication date: 4 November 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.12301
representation theoryTemperley-Lieb algebrainfinite-dimensional algebrainfinite link stateinfinite link state representations
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum groups (quantized function algebras) and their representations (20G42)
Cites Work
- Unnamed Item
- Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
- Induced representations of the infinite symmetric group and their spectral theory.
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- The Temperley-Lieb algebra at roots of unity
- The blob algebra in positive characteristic.
- Index for subfactors
- The representation theory of the Temperley-Lieb algebras
- Lattice fusion rules and logarithmic operator product expansions
- Standard modules, induction and the structure of the Temperley-Lieb algebra
- Translation functors and decomposition numbers for the periplectic Lie superalgebra \(\mathfrak{p}(n)\)
- A polynomial invariant for knots via von Neumann algebras
- ON SCHUR-WEYL DUALITY, An HECKE ALGEBRAS AND QUANTUM sl(N) ON $\otimes^{n+1}{\mathbb C}^N$
- Restriction and induction of indecomposable modules over the Temperley–Lieb algebras
- An Invariant of Regular Isotopy
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
