Representations of graph Temperley-Lieb algebras
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Publication:2639160
DOI10.2977/prims/1195170958zbMath0718.17025OpenAlexW2036322454MaRDI QIDQ2639160
Publication date: 1990
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195170958
Applications of Lie (super)algebras to physics, etc. (17B81) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (18)
Signed Partition Algebras ⋮ Symmetric group characters as symmetric functions ⋮ G-Vertex Colored Partition Algebras as Centralizer Algebras of Direct Products ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals ⋮ An insertion algorithm on multiset partitions with applications to diagram algebras ⋮ Poincaré series for tensor invariants and the McKay correspondence ⋮ CHARACTERIZATION FOR THE MODULAR PARTY ALGEBRA ⋮ Schur-Weyl dualities for symmetric inverse semigroups. ⋮ Set-partition tableaux and representations of diagram algebras ⋮ Unnamed Item ⋮ Characters of the partition algebras. ⋮ Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups ⋮ Stable characters from permutation patterns ⋮ Partition algebras Pk(n) with 2k>n and the fundamental theorems of invariant theory for the symmetric group Sn ⋮ Class Partition Algebras as Centralizer Algebras of Wreath Products ⋮ Algebras in higher-dimensional statistical mechanics -- the exceptional partition (mean field) algebras ⋮ Howe duality of the symmetric group and a multiset partition algebra ⋮ The rook partition algebra
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