Cellular subalgebras of the partition algebra
From MaRDI portal
Publication:6545084
DOI10.4171/jca/84zbMATH Open1540.05172MaRDI QIDQ6545084
Publication date: 29 May 2024
Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10) Representation theory of associative rings and algebras (16G99) Combinatorial aspects of groups and algebras (05E16)
Cites Work
- Tied links and invariants for singular links
- On the number of principal ideals in \(d\)-tonal partition monoids
- A criterion for sharpness in tree enumeration and the asymptotic number of triangulations in Kuperberg's \(G_2\) spider
- The quantum symmetricXXZchain at Δ = -½, alternating-sign matrices and plane partitions
- Tied links
- Planar Rook Algebras and Tensor Representations of 𝔤𝔩(1 | 1)
- Highest weight categories arising from Khovanov’s diagram algebra III: category 𝒪
- ON THE REPRESENTATION THEORY OF PARTIAL BRAUER ALGEBRAS
- An Adelic Extension of the Jones Polynomial
- A geometric characterisation of the blocks of the Brauer algebra
- Longest Increasing and Decreasing Subsequences
- AN INVARIANT FOR SINGULAR KNOTS
- Crossings and nestings of matchings and partitions
- Temperley-Lieb algebras and the long distance properties of statistical mechanical models
- OPERATOR INVARIANTS OF TANGLES, ANDR-MATRICES
- The blocks of the Brauer algebra in characteristic zero
- A diagrammatic approach to categorification of quantum groups I
- A polynomial invariant for knots via von Neumann algebras
- TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
- On Some Alternative Characterizations of Riordan Arrays
- Seminormal Representations of Weyl Groups and Iwahori-Hecke Algebras
- On the centralizer algebra of the unitary reflection group G(m,p,n)
- Diagram algebras, Hecke algebras and decomposition numbers at roots of unity
- Temperley Lieb stochastic processes
- MARKOV TRACE ON THE YOKONUMA–HECKE ALGEBRA
- The partition algebra and the Potts model transfer matrix spectrum in high dimensions
- Artin Groups and Yokonuma–Hecke Algebras
- The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras
- An Invariant of Regular Isotopy
- Braids, Link Polynomials and a New Algebra
- Highest weight categories arising from Khovanov's diagram algebra I: cellularity
- Logarithmic minimal models
- Identifying the Invariants for Classical Knots and Links from the Yokonuma–Hecke Algebras
- An integral second fundamental theorem of invariant theory for partition algebras
- The mysterious geometry of Artin groups
- The partition algebra and the Kronecker coefficients
- Markov trace on the algebra of braids and ties
- Jones polynomials, volume and essential knot surfaces: a survey
- Representations of the Rook-Brauer Algebra
- $p$-adic framed braids II
- Combinatorial Hopf Algebras and K-Homology of Grassmanians
- Temperley-Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- Finite Unitary Reflection Groups
- Weight Multiplicities and Young Tableaux Through Affine Crystals
- The classical groups, their invariants and representations.
- The solution to a conjecture of Tits on the subgroup generated by the squares of the generators of an Artin group
- The partial Temperley-Lieb algebra and its representations
- Categorical lifting of the Jones polynomial: a survey
- Handlebody diagram algebras
- Skew cellularity of the Hecke algebras of type 𝐺(ℓ,𝑝,𝑛)
- Cellularity and subdivision of KLR and weighted KLRW algebras
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Motzkin monoids and partial Brauer monoids
- The generic representation theory of the Juyumaya algebra of braids and ties.
- The quasi-partition algebra.
- The degenerate affine walled Brauer algebra
- Highest weight categories arising from Khovanov's diagram algebra. IV: The general linear supergroup
- A simple bijection between standard \(3\times n\) tableaux and irreducible webs for \(\mathfrak{sl}_{3}\)
- Gradings on walled Brauer algebras and Khovanov's arc algebra
- Partition algebras.
- On the representation theory of an algebra of braids and ties.
- Affine cellular algebras.
- The semisimplicity of \(\omega_f^n\)
- Two parameters bt-algebra and invariants for links and tied links
- The rook partition algebra
- Symmetric group characters as symmetric functions
- Representation theory of towers of recollement: theory, notes, and examples.
- Irreducible representations of the party algebra
- \(p\)-adic framed braids
- Affine walled Brauer algebras and super Schur-Weyl duality
- The blocks of the partition algebra in positive characteristic.
- Combinatorics of \(K\)-theory via a \(K\)-theoretic Poirier-Reutenauer bialgebra
- On the blocks of the walled Brauer algebra.
- Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
- Highest weight categories arising from Khovanov's diagram algebra. II: Koszulity
- Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
- State models and the Jones polynomial
- Hecke algebra representations of braid groups and link polynomials
- On the structure of Brauer's centralizer algebras
- The Kauffman polynomial of links and representation theory
- Chain enumeration and non-crossing partitions
- Enumeration of plane trees by branches and endpoints
- On the new generators of the Hecke algebra \({\mathcal H}(G,U,\mathbf{1})\)
- On the semisimplicity of the Brauer centralizer algebras
- Catalan, Motzkin, and Riordan numbers
- Algebras in higher-dimensional statistical mechanics -- the exceptional partition (mean field) algebras
- The blob algebra and the periodic Temperley-Lieb algebra
- The Temperley-Lieb algebra at roots of unity
- Tensor product representations of general linear groups and their connections with Brauer algebras
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- On representations of Artin groups and the Tits conjecture
- Relations among the squares of the generators of the braid group
- A geometric version of the Robinson-Schensted correspondence for skew oscillating tableaux
- Morse theory and finiteness properties of groups
- \(G\)-colored partition algebras as centralizer algebras of wreath products
- Ramified partition algebras.
- Über die rationalen Darstellungen der allgemeinen linearen Gruppe.
- The representation theory of affine Temperley-Lieb algebras
- On the computation of fusion over the affine Temperley-Lieb algebra
- Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties
- Kauffman type invariants for tied links
- Iterated inflations of cellular algebras
- Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras
- Cross products, invariants, and centralizers
- Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
- A categorification of the Temperley-Lieb algebra and Schur quotients of \(U(\mathfrak{sl}_2)\) via projective and Zuckerman functors
- On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
- Index for subfactors
- Representations of the rook monoid.
- The representation theory of cyclotomic Temperley-Lieb algebras.
- The Robinson-Schensted correspondence for skew oscillating tableaux
- The connection between the Robinson-Schensted correspondence for skew oscillating tableaux and graded graphs
- Canonical bases for the Brauer centralizer algebra
- Cellular algebras
- The structure of the partition algebras
- Spiders for rank 2 Lie algebras
- \(p\)-adic framed braids. II
- On the structure of the blob algebra
- Set-partition tableaux and representations of diagram algebras
- Diagrammatic categorification of the Chebyshev polynomials of the second kind
- Temperley-Lieb algebras at roots of unity, a fusion category and the Jones quotient
- Dimensions of irreducible modules for partition algebras and tensor power multiplicities for symmetric and alternating groups
- Schur-Weyl duality for tensor powers of the Burau representation
- Plethysm and the algebra of uniform block permutations
- Integral Schur-Weyl duality for partition algebras
- Jucys-Murphy elements and Grothendieck groups for generalized rook monoids
- Brauer and Jones tied monoids
- An insertion algorithm on multiset partitions with applications to diagram algebras
- Crystal structures for canonical Grothendieck functions
- Supersymmetric polynomials and the center of the walled Brauer algebra
- Double centralisers and annihilator ideals of Young permutation modules
- Standard modules, induction and the structure of the Temperley-Lieb algebra
- The planar rook algebra and Pascal's triangle.
- Graded cellular basis and Jucys-Murphy elements for generalized blob algebras
- Identities from representation theory
- On geometrically defined extensions of the Temperley-Lieb category in the Brauer category
- Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II
- Characters of the centralizer algebras of mixed tensor representations of \(GL(r,\mathbb{C})\) and the quantum group \({\mathcal U}_ q(gl(r,\mathbb{C}))\)
- On partition algebras for complex reflection groups.
- Cellular structures using \(U_q\)-tilting modules
- Shell tableaux: a set partition analog of vacillating tableaux
- Partition algebras and the invariant theory of the symmetric group
- Motzkin algebras
- Möbius functions and semigroup representation theory. II: Character formulas and multiplicities.
- A criterion on the semisimple Brauer algebras.
- A criterion on the semisimple Brauer algebras. II.
- Permutations, matrices, and generalized Young tableaux
- Cyclotomic blob algebra and its representation theory.
- RSK insertion for set partitions and diagram algebras
- On algebras which are connected with the semisimple continuous groups.
- On the geometry of the linear representations of the symmetric group.
- An introduction to right-angled Artin groups.
Related Items (1)
This page was built for publication: Cellular subalgebras of the partition algebra