3 papers
math.RT2026
Comparing self-dual corings, Frobenius corings and Ringel self-duality
Tomasz BrzeziÅski, Tomasz Brzeziński, Teresa Conde +3
Self-dual corings and self-dual algebra extensions are classified and these (self-)dualities are compared with Ringel (self-)duality, revealing fundamental differences. To each cor…
math.RT2026
Triangular decompositions: Reedy algebras and quasi-hereditary algebras
Teresa Conde, Georgios Dalezios, Steffen Koenig
Finite-dimensional Reedy algebras form a ring-theoretic analogue of Reedy categories and were recently proved to be quasi-hereditary. We identify Reedy algebras with quasi-heredita…
math.RT2026
Exact Borel subalgebras, idempotent quotients and idempotent subalgebras
Teresa Conde, Julian Külshammer
This article studies the compatibility of Koenig's notion of an exact Borel subalgebra of a quasi-hereditary or, more generally, standardly stratified algebra with taking idempoten…