42 citations · 110 across the 11 of their papers we have counts for
17 papers
Combinatorial Fock spaces and quantum symmetric pairs
Michael Ehrig, Kaixuan Gan
The natural representation of the quantized affine algebra of type A can be defined via the deformed Fock space by Misra and Miwa. This relates the classes of Weyl modules for a ty…
Algebraic properties of zigzag algebras
Michael Ehrig, Daniel Tubbenhauer
We give necessary and sufficient conditions for zigzag algebras and certain generalizations of them to be (relative) cellular, quasi-hereditary or Koszul.
Relative cellular algebras
Michael Ehrig, Daniel Tubbenhauer
In this paper we generalize cellular algebras by allowing different partial orderings relative to fixed idempotents. For these relative cellular algebras we classify and construct…
The periplectic Brauer algebra III: The Deligne category
Kevin Coulembier, Michael Ehrig
We construct a faithful categorical representation of an infinite Temperley-Lieb algebra on the periplectic analogue of Deligne's category. We use the corresponding combinatorics t…
Functoriality of colored link homologies
Michael Ehrig, Daniel Tubbenhauer, Paul Wedrich
We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functorial with respect to link and tangle cobordisms.
The periplectic Brauer algebra II: decomposition multiplicities
Kevin Coulembier, Michael Ehrig
We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing…
Singular TQFTs, foams and type D arc algebras
Michael Ehrig, Daniel Tubbenhauer, Arik Wilbert
We combinatorially describe the -category of singular cobordisms, called (rank one) foams, which governs the functorial version of Khovanov homology. As an application we topolo…
On the category of finite-dimensional representations of $\OSPrn$: Part I
Michael Ehrig, Catharina Stroppel
We study the combinatorics of the category F of finite-dimensional modules for the orthosymplectic Lie supergroup OSP(r|2n). In particular we present a positive counting formula fo…
Generic -foams, web and arc algebras
Michael Ehrig, Catharina Stroppel, Daniel Tubbenhauer
We define parameter dependent -foams and their associated web and arc algebras, and verify that they specialize to several known or $\mathfrak{gl…
Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians
Michael Ehrig, Catharina Stroppel
For each integer we describe diagrammatically a positively graded Koszul algebra such that the category of finite dimensional -modules is equ…
The Blanchet-Khovanov algebras
Michael Ehrig, Catharina Stroppel, Daniel Tubbenhauer
Blanchet introduced certain singular cobordisms to fix the functoriality of Khovanov homology. In this paper we introduce graded algebras consisting of such singular cobordisms à l…
Koszul gradings on Brauer algebras
Michael Ehrig, Catharina Stroppel
We show that the Brauer algebra over the complex numbers for an integral parameter delta can be equipped with a grading, in the case of delta being non-zero turning it into a grade…
Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra
Michael Ehrig, Catharina Stroppel
We give a proof of a Schur-Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra .
Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
Michael Ehrig, Catharina Stroppel
We describe how certain cyclotomic Nazarov-Wenzl algebras occur as endomorphism rings of projective modules in a parabolic version of BGG category O of type . Furthermore we stu…
Diagrams for perverse sheaves on isotropic Grassmannians and the supergroup SOSP(m|2n)
Michael Ehrig, Catharina Stroppel
We describe diagrammatically a positively graded Koszul algebra \mathbb{D}_k such that the category of finite dimensional \mathbb{D}_k-modules is equivalent to the category of perv…
2-row Springer fibres and Khovanov diagram algebras for type D
Michael Ehrig, Catharina Stroppel
We study in detail two row Springer fibres of even orthogonal type from an algebraic as well as topological point of view. We show that the irreducible components and their pairwis…
MV-Polytopes via affine buildings
Michael Ehrig
We give a construction of MV-polytopes of a complex semisimple algebraic group G in terms of the geometry of the Bott-Samelson variety and the affine building. This is done by usin…