… We denote by G the right adjoint of the Schur functor f = eA⊗A −, which sends M to
HomeAe(eA, eM) and by Ri G the i-th derived functor of G. For each A-module M, let ξM be the …

… The Schur functor has been used as an effective tool to … of the Schur functor to the geometry
of certain singular spaces … of the category \(C_k(n,d)\) and the Schur functor in terms of …

… Schur functors which preserve singularity categories of rings and we apply them to study the
singularity category of … singularity categories of certain non-Gorenstein rings via the stable …

… singularity category of U is triangle equivalent to the Verdier quotient triangulated category of
the singularity category … The Schur functor Se extends to a triangle functor Db(R-mod) → Db…

… Nowadays, singularity categories and related topics have been … singularity category up
to a triangleequivalence (see [10,13,14,29]). In this case, we call these two algebras singular …

… for A4 with k = 0 (this was also done by Rimanyi [23] – our approach uses more extensively
Schur functions). For any singularity Ai, we describe the j-polynomial part (denoted by F …

… the notion of Schur-finite motives, that is, mo tives which are annihilated by a Schur functor.
We … Using resolution of singularities we have a smooth projective variety X ' and a triangle …

… categories is periodic. We define the notion of Frobenius–Schur (FS-)exponent of a pivotal
category … that the FS-exponent of a spherical fusion category is equal to the order of the twist …

… functions which we call modular Schur functions. As explained in [4, §3], we consider an
endomorphism co' of the ring of symmetric functions A… singular part of the decomposition matrix. …

… with the projective functors, yields in both categorifications what we consider the Schur-Weyl …
In Section 3 we construct a categorification via singular blocks of the category O(gln) of …