Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Lenzen, Fabian"'
We study algebraic shifting of uniform hypergraphs and finite simplicial complexes in the exterior algebra with respect to matrices which are not necessarily generic. Several questions raised by Kalai (2002) are addressed. For instance, it turns out
Externí odkaz:
http://arxiv.org/abs/2410.24044
Autor:
Lenzen, Fabian
Minimal free resolutions and minimal free presentations are standard ways to represent the isomorphism type of a persistence module in software. This description is a multi-parameter generalization of the barcode known in one-parameter persistence. A
Externí odkaz:
http://arxiv.org/abs/2401.06008
Clearing is a simple but effective optimization for the standard algorithm of persistent homology (PH), which dramatically improves the speed and scalability of PH computations for Vietoris--Rips filtrations. Due to the quick growth of the boundary m
Externí odkaz:
http://arxiv.org/abs/2303.11193
Autor:
Lenzen, Fabian
Based on the NilHecke algebra $\mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchioka's quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $\mathsf{NH}\mathfrak{C}_n$ as an
Externí odkaz:
http://arxiv.org/abs/2104.07285
Autor:
Lenzen, Fabian
For a semisimple complex Lie algebra $\mathfrak g$, the BGG category $\mathcal{O}$ is of particular interest in representation theory. It is known that Irving's shuffling functors $\mathrm{Sh}_{w}$, indexed by elements $w\in W$ of the Weyl group, ind
Externí odkaz:
http://arxiv.org/abs/2002.10700
Autor:
Lenzen, Fabian
Publikováno v:
Communications in Algebra. :1-31
Based on the NilHecke algebra $\mathsf{NH}_n$, the odd NilHecke algebra developed by Ellis, Khovanov and Lauda and Kang, Kashiwara and Tsuchioka's quiver Hecke superalgebra, we develop the Clifford Hecke superalgebra $\mathsf{NH}\mathfrak{C}_n$ as an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c76833475fdad452f2bad144109c04e
https://doi.org/10.1080/00927872.2023.2196336
https://doi.org/10.1080/00927872.2023.2196336
