Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Stroppel, Catharina"'
We describe algebraically, diagrammatically and in terms of weight vectors, the restriction of tensor powers of the standard representation of quantum $\mathfrak{sl}_2$ to a coideal subalgebra. We realise the category as module category over the mono
Externí odkaz:
http://arxiv.org/abs/2406.12132
Autor:
Maksimau, Ruslan, Stroppel, Catharina
Naisse and Vaz defined an extension of KLR algebras to categorify Verma modules. We realise these algebras geometrically as convolution algebras in Borel-Moore homology. For this we introduce Grassmannian-Steinberg quiver flag varieties. They general
Externí odkaz:
http://arxiv.org/abs/2405.20262
We develop the theory of projective endofunctors for modules of Khovanov algebras $K$ of type B. In particular we compute the composition factors and the graded layers of the image of a simple module under such a projective functor. We then study var
Externí odkaz:
http://arxiv.org/abs/2405.11981
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard canon of topological quantum field theories in dimension 3 and 4. Here we
Externí odkaz:
http://arxiv.org/abs/2401.02956
Autor:
Stroppel, Catharina, Wehrhan, Till
Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. The theory of stable envelopes provides a fascinating interplay between geometry, combinatorics and integrable sy
Externí odkaz:
http://arxiv.org/abs/2312.03144
In this first of a series of articles on standard extension algebras we study standard perverse sheaves on varieties with $\mathbb{G}_m$-actions. Based on Braden's hyperbolic localisation, we describe their extension algebra geometrically via a convo
Externí odkaz:
http://arxiv.org/abs/2310.09206
We prove that the extended Khovanov arc algebras are isomorphic to the basic algebras of anti-spherical Hecke categories for maximal parabolics of symmetric groups. We present these algebras by quiver and relations and provide the full submodule latt
Externí odkaz:
http://arxiv.org/abs/2309.13695
Autor:
Stroppel, Catharina
Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and connect them via the theory of Soergel bimodules. The influence of thes
Externí odkaz:
http://arxiv.org/abs/2207.05139
Autor:
Stroppel, Catharina, Sussan, Joshua
We use the machinery of categorified Jones-Wenzl projectors to construct a categorification of a type A Reshetikhin-Turaev invariant of oriented framed tangles where each strand is labeled by an arbitrary finite-dimensional representation. As a speci
Externí odkaz:
http://arxiv.org/abs/2109.12889
We show that representations of convolution algebras such as Lustzig's graded affine Hecke algebra or the quiver Hecke algebra and quiver Schur algebra in (affine) type A can be realised in terms of certain equivariant motivic sheaves called Springer
Externí odkaz:
http://arxiv.org/abs/2109.00305