33 citations · 101 across the 9 of their papers we have counts for
11 papers
Annular Evaluation and Link Homology
Hoel Queffelec, David E. V. Rose, Antonio Sartori
We use categorical annular evaluation to give a uniform construction of both and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of these th…
Webs and -Howe dualities in types
Antonio Sartori, Daniel Tubbenhauer
We define web categories describing intertwiners for the orthogonal and symplectic Lie algebras, and, in the quantized setup, for certain orthogonal and symplectic coideal subalgeb…
A note on the gl(m|n) link invariants and the HOMFLY-PT polynomial
Hoel Queffelec, Antonio Sartori
We present a short and unified representation-theoretical treatment of type A link invariants (that is, the HOMFLY-PT polynomials, the Jones polynomial, the Alexander polynomial an…
Mixed quantum skew Howe duality and link invariants of type A
Hoel Queffelec, Antonio Sartori
We define a ribbon category , depending on a parameter , which encompasses Cautis, Kamnitzer and Morrison's spider category, and describes for the monoid…
Homfly-Pt and Alexander polynomials from a doubled Schur algebra
Hoel Queffelec, Antonio Sartori
We define a generalization of the idempotented Schur algebra which gives a unified setting for a quantum group presentation of the Homfly-Pt polynomial, together with its specializ…
Walled Brauer algebras as idempotent truncations of level 2 cyclotomic quotients
Antonio Sartori, Catharina Stroppel
We realize (via an explicit isomorphism) the walled Brauer algebra for an arbitrary integral parameter delta as an idempotent truncation of a level two cyclotomic degenerate affine…
Categorification of tensor product representations of sl(k) and category O
Antonio Sartori, Catharina Stroppel
We construct categorifications of tensor products of arbitrary finite-dimensional irreducible representations of with subquotient categories of the BGG category $…
A diagram algebra for Soergel modules corresponding to smooth Schubert varieties
Antonio Sartori
Using combinatorial properties of symmetric polynomials, we compute explicitly the Soergel modules for some permutations whose corresponding Schubert varieties are rationally smoot…
The Alexander polynomial as quantum invariant of links
Antonio Sartori
In these notes we collect some results about finite dimensional representations of and related invariants of framed tangles which are well-known to expert…
The degenerate affine walled Brauer algebra
Antonio Sartori
We define a degenerate affine version of the walled Brauer algebra, that has the same role plaid by the degenerate affine Hecke algebra for the symmetric group algebra. We use it t…
Categorification of tensor powers of the vector representation of
Antonio Sartori
We consider the monoidal subcategory of finite dimensional representations of generated by the vector representation, and we provide a diagram calculus fo…