14 citations · 23 across the 9 of their papers we have counts for
10 papers
On functors preserving projective resolutions
Ana Paula Santana, Ivan Yudin
It is important for applications of Homological Algebra in Representation Theory to have control over the behaviour of (minimal) projective resolutions under various functors. In t…
Representation type of Borel-Schur algebras
Karin Erdmann, Ana Paula Santana, Ivan Yudin
In our previous work arXiv:1306.1770, we found all Borel-Schur algebra of finite representation type. In the present article, we determine which Borel-Schur algebras of infinite re…
An action of the Hecke monoid on rational modules for the Borel subgroup of a quantised general linear group
Ana Paula Santana, Ivan Yudin
We construct an action of the Hecke monoid on the category of rational modules for the quantum negative Borel subgroup of the quantum general linear group. We also show that this a…
Stratifying ideals and twisted products
Ana Paula Santana, Ivan Yudin
We study stratifying ideals for rings in the context of relative homological algebra. Using LU-decompositions, which are a special type of twisted products, we give a sufficient co…
On Auslander-Reiten sequences for Borel-Schur algebras
Karin Erdmann, Ana Paula Santana, Ivan Yudin
We classify Borel-Schur algebras having finite representation type. We also de- termine Auslander-Reiten sequences for a large class of simple modules over Borel- Schur algebras. A…
Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules
Stephen Donkin, Ana Paula Santana, Ivan Yudin
We continue the development of the homological theory of quantum general linear groups previously considered by the first author. The development is used to transfer information to…