An inductive machinery for representations of categories with shift functors
WL Gan, L Li - Transactions of the American Mathematical Society, 2019 - ams.org
We describe an inductive machinery to prove various properties of representations of a
category equipped with a generic shift functor. Specifically, we show that if a property (P) of …
category equipped with a generic shift functor. Specifically, we show that if a property (P) of …
[HTML][HTML] Asymptotic behavior of representations of graded categories with inductive functors
WL Gan, L Li - Journal of Pure and Applied Algebra, 2019 - Elsevier
In this paper we describe inductive machinery to investigate asymptotic behavior of
homology groups and related invariants of representations of certain graded combinatorial …
homology groups and related invariants of representations of certain graded combinatorial …
GL-algebras in positive characteristic II: the polynomial ring
K Ganapathy - arXiv preprint arXiv:2407.13604, 2024 - arxiv.org
We study GL-equivariant modules over the infinite variable polynomial ring $ S= k [x_1,
x_2,..., x_n,...] $ with $ k $ an infinite field of characteristic $ p> 0$. We extend many of Sam …
x_2,..., x_n,...] $ with $ k $ an infinite field of characteristic $ p> 0$. We extend many of Sam …
Incidence category of the Young lattice, injections between finite sets, and Koszulity
B Dubsky - Algebra Colloquium, 2021 - World Scientific
We study the quadratic quotients of the incidence category of the Young lattice defined by
the zero relations corresponding to adding two boxes to the same row, or to the same …
the zero relations corresponding to adding two boxes to the same row, or to the same …
Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications
P Tosteson - 2019 - deepblue.lib.umich.edu
We study the homology of ordered configuration spaces and Deligne--Mumford
compactifications using tools from representation stability. In the case of configuration …
compactifications using tools from representation stability. In the case of configuration …
Classifying global dimensions of category algebras of some finite combinational categories
L Li, T Zhang - Communications in Algebra, 2019 - Taylor & Francis
Full article: Classifying global dimensions of category algebras of some finite combinational
categories Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …
categories Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …