Tonal partition algebras: fundamental and geometrical aspects of representation theory
DOI10.1080/00927872.2023.2239357zbMath1530.20034arXiv1912.01898OpenAlexW2993539115MaRDI QIDQ6178414
Paul P. Martin, Chwas Ahmed, Volodymyr Mazorchuk
Publication date: 18 January 2024
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.01898
finite dimensional algebrashighest weight categorydecomposition matrixdiagram algebraspartition algebra
Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Representations of associative Artinian rings (16G10) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)
Cites Work
- 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
- Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
- The first fundamental theorem of invariant theory for the orthosymplectic supergroup
- Cellular bases for algebras with a Jones basic construction
- Central extensions of smooth 2-groups and a finite-dimensional string 2-group
- Standard modules for tabular algebras.
- Representation theory of towers of recollement: theory, notes, and examples.
- Irreducible representations of the party algebra
- Classical finite transformation semigroups. An introduction.
- Polynomial representations of \(GL_n\)
- Specht modules and symmetric groups
- The representation theory of the symmetric groups
- The partition algebras and a new deformation of the Schur algebras
- Algebras in higher-dimensional statistical mechanics -- the exceptional partition (mean field) algebras
- Ramified partition algebras.
- Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
- Cellular algebras
- The structure of the partition algebras
- Twisted split category algebras as quasi-hereditary algebras.
- On partition algebras for complex reflection groups.
- Partition algebras and the invariant theory of the symmetric group
- Orbifolds of \(n\)-dimensional defect TQFTs
- On algebras which are connected with the semisimple continuous groups
- On the number of principal ideals in \(d\)-tonal partition monoids
- ON THE REPRESENTATION THEORY OF PARTIAL BRAUER ALGEBRAS
- A geometric characterisation of the blocks of the Brauer algebra
- CHARACTERIZATION FOR THE MODULAR PARTY ALGEBRA
- TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
- On the centralizer algebra of the unitary reflection group G(m,p,n)
- On Standardly Stratified Algebras
- The partition algebra and the Potts model transfer matrix spectrum in high dimensions
- The decomposition matrices of the Brauer algebra over the complex field
- Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
- On Modular and p-Adic Representations of Algebras
This page was built for publication: Tonal partition algebras: fundamental and geometrical aspects of representation theory
