A categorical embedding Ψ for extended affine type A Soergel bimodules is constructed, categorifying the Hecke algebra parabolic embedding, with an example categorifying the Zelevinsky tensor product of two trivial representations.
Pretriangulated 2-representations via dg algebra 1-morphisms
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper develops a theory of pretriangulated 2-representations of dg 2-categories. We characterize cyclic pretriangulated 2-representations, under certain compactness assumptions, in terms of dg modules over dg algebra 1-morphisms internal to associated dg 2-categories of compact objects. Further, we investigate the Morita theory and quasi-equivalences for such dg 2-representations. We relate this theory to various classes of examples of dg categorifications from the literature.
fields
math.RT 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Induction for extended affine type A Soergel bimodules: first steps
A categorical embedding Ψ for extended affine type A Soergel bimodules is constructed, categorifying the Hecke algebra parabolic embedding, with an example categorifying the Zelevinsky tensor product of two trivial representations.