Seminormal forms for the Temperley-Lieb algebra

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Symmetric groups (20B30) Associative rings and algebras arising under various constructions (16S99) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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Seminormal forms and cyclotomic quiver Hecke algebras of type \(A\).
Graded cellular bases for Temperley-Lieb algebras of type A and B
A new approach to representation theory of symmetric groups
The nil-blob algebra: an incarnation of type \(\tilde{A}_1\) Soergel calculus and of the truncated blob algebra
An exceptional collection for Khovanov homology
Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type \(A\).
Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
The idempotents of the symmetric group and Nakayama's conjecture
A new construction of Young's seminormal representation of the symmetric groups
On the representation theory of the symmetric groups and associated Hecke algebras
Murphy bases of generalized Temperley-Lieb algebras
The Temperley-Lieb algebra at roots of unity
A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl)
Grading the translation functors in type \(A\).
The representation theory of affine Temperley-Lieb algebras
Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
Index for subfactors
The representations of Hecke algebras of type \(A_ n\)
Cellular algebras
\((\ell, p)\)-Jones-Wenzl idempotents
Indecomposable tilting modules for the blob algebra
Jucys-Murphy elements for Soergel bimodules
Graded cellular basis and Jucys-Murphy elements for generalized blob algebras
\(p\)-Jones-Wenzl idempotents
On Ringel duality for Schur algebras
Indecomposable Soergel bimodules for universal Coxeter groups
Commuting Families in Hecke and Temperley-Lieb Algebras
Blob algebra approach to modular representation theory
Seminormal forms and Gram determinants for cellular algebras
A diagrammatic approach to categorification of quantum groups I
Koszul Gradings on Brauer Algebras
Universal graded Specht modules for cyclotomic Hecke algebras
Quivers for 𝑆𝐿₂ tilting modules
THE CENTER OF SL₂ TILTING MODULES
\(\mathrm{SL}_2\) tilting modules in the mixed case
Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras
Nil graded algebras associated to triangular matrices and their applications to Soergel calculus

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