[HTML][HTML] Quasi-hereditary algebras, exact Borel subalgebras, A∞-categories and boxes
S Koenig, J Külshammer, S Ovsienko - Advances in Mathematics, 2014 - Elsevier
Highest weight categories arising in Lie theory are known to be associated with finite
dimensional quasi-hereditary algebras such as Schur algebras or blocks of category O. An …
dimensional quasi-hereditary algebras such as Schur algebras or blocks of category O. An …
Quasi-hereditary algebras with a duality.
D Alvis, C Xi, G Lusztig - Journal für die reine und angewandte …, 1994 - degruyter.com
In their study of representations of complex Lie-algebras and algebraic groups, Cline,
Parshall and Scott introduced in [CPS1] the concept of quasi-hereditary algebras to describe …
Parshall and Scott introduced in [CPS1] the concept of quasi-hereditary algebras to describe …
[PDF][PDF] A construction for quasi-hereditary algebras
V Dlab, CM Ringel - Compositio Mathematica, 1989 - numdam.org
Two différent algebraic approaches have been introduced in order to deal with highest
weight categories arising in representation theory (for semi-simple complex Lie algebras …
weight categories arising in representation theory (for semi-simple complex Lie algebras …
The classification of blocks in BGG category
K Coulembier - Mathematische Zeitschrift, 2020 - Springer
We classify all equivalences between the indecomposable abelian categories which appear
as blocks in BGG category OO for reductive Lie algebras. Our classification implies that a …
as blocks in BGG category OO for reductive Lie algebras. Our classification implies that a …
Quasi-hereditary algebras which are dual extensions of algebras
B Deng, C Xi - Communications in Algebra, 1994 - Taylor & Francis
In connection with the study of highest weight categories arising in the representation theory
of semisimple complex Lie algebras and algebraic groups Cline, Parshall and Scott …
of semisimple complex Lie algebras and algebraic groups Cline, Parshall and Scott …
Lean quasi-hereditary algebras
I ÁGOSTON¹, V DLAB, E Lukács¹ - Representations of Algebras …, 1993 - books.google.com
A class of quasi-hereditary algebras, related to a variety of applications, is introduced and
studied in the paper. We call these algebras lean; they are characterized by the property that …
studied in the paper. We call these algebras lean; they are characterized by the property that …
[引用][C] The module theoretical approach to quasi-hereditary algebras
V Dlab, CM Ringel - Representations of algebras and related …, 1992 - pub.uni-bielefeld.de
Quasi-hereditary algebras were introduced by L. Scott| S] in order to deal with highest
weight categories as they arise in the representation theory of semi-simple complex Lie …
weight categories as they arise in the representation theory of semi-simple complex Lie …
[引用][C] Exact Borel subalgebras of quasi-hereditary algebras, I
S König - Mathematische Zeitschrift, 1995 - Springer
Quasi-hereditary algebras have been defined by Cline, Parshall and Scott ([2],[18]) in order
to build a bridge between representation theory of Lie algebras and of algebraic groups on …
to build a bridge between representation theory of Lie algebras and of algebraic groups on …
In the bocs seat: Quasi-hereditary algebras and representation type
J Külshammer - arXiv preprint arXiv:1601.03899, 2016 - arxiv.org
This paper surveys bocses, quasi-hereditary algebras and their relationship which was
established in a recent result by Koenig, Ovsienko, and the author. Particular emphasis is …
established in a recent result by Koenig, Ovsienko, and the author. Particular emphasis is …
[图书][B] Semi-infinite highest weight categories
J Brundan, C Stroppel - 2024 - ams.org
We develop axiomatics of highest weight categories and quasi-hereditary algebras in order
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …
to incorporate two semi-infinite situations which are in Ringel duality with each other; the …