A Categorification of the Temperley-Lieb Algebra and Schur Quotients of U(sl2) via Projective and

By Joseph N. Bernstein, I. Frenkel, Mikhail Khovanov. 2000

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Citations in the corpus

Higher Dimensional Algebra VII: Groupoidification (2009, unknown): “Also important were Khovanov’s categorification of the Jones polynomial [25] and the work by Bernstein, Frenkel, Khovanov and Stroppel on categorifying Temperley–Lieb algebras, which are quotients of the type A Hecke algebras [7, 38].”
Implicit structure in 2-representations of quantum groups (2011, methodology): “Extending results from [9, 1] an action of the 2category U(sl2) was constructed on categories of modules of cohomology rings [17] (as well as equivariant cohomology rings [18]) of partial flag varieties.”
An invariant of tangle cobordisms via subquotients of arc rings (2006, background): “A categorification of the entire tensor product V ⊗n was investigated in [2].”
Derived equivalences and finite dimensional algebras (2006, unknown): “also [90] for a survey and [44], [45], [7], [42] for related work).”
Quivers, Floer cohomology, and braid group actions (2000, background): “However, it has been conjectured [4] that one can construct invariants of two-knots from a certain family of categories, of which D(Am-mod) is the simplest nontrivial example.”
A functor-valued invariant of tangles (2001, result): “This result is a step towards the conjecture [38, page 365], [8] that the cohomology theory H is encoded in parabolic blocks of highest weight categories of sln -modules, over all n.”
Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m) (2012, methodology): “Indeed, the U̇q(sl2) relation EF13 = FE13 + [3]13 gives the “circle” relation: = [3]”
Projective-injective modules, Serre functors and symmetric algebras (2005, background): “see [25] or [10], Proposition 3, and also Lemma 4.”
A combinatorial approach to functorial quantum slk knot invariants (2007, background): “This is a generalisation of the categorifications in [4], [28], see also [7].”