ON THE FINITISTIC GLOBAL DIMENSION CONJECTURE FOR ARTIN ALGEBRAS
By Kiyoshi Igusa, G. Todorov. 2002
148 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ab9738bbe13b5fa4827065e0ee996b54ed8c5c6f
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In Algebra and Number Theory
- Jiaqun Wei
- Changchang Xi
- Steffen Oppermann
- Osamu Iyama
- Raphaël Rouquier
- Petter Andreas Bergh
- Weiqun Hu
- Apostolos Beligiannis
In Geometry and Topology
- Jiaqun Wei
- Changchang Xi
- Steffen Oppermann
- Osamu Iyama
- Raphaël Rouquier
- Alexander S. Kleshchev
- Jonathan Brundan
- Aaron D. Lauda
In Statistical and Nonlinear Physics
- Changchang Xi
- Jiaqun Wei
- Raphaël Rouquier
- Steffen Oppermann
- Osamu Iyama
- Alexander S. Kleshchev
- Jonathan Brundan
- Aaron D. Lauda
Citations in the corpus
- Representation dimension of artin algebras (2010, background): “5, lines 2, 3] Igusa and Todorov [6] have shown that there is a connection between Auslander’s representation dimension and the finitistic dimension conjecture.”
- Dimensions of triangulated categories (2003, background): “A proof that all algebras have representation dimension at most 3 would have led for example to a solution of the finitistic dimension conjecture [IgTo].”
- On the finitistic dimension conjecture I: related to representation-finite algebras (2004, background): “Recently, it is shown in [ 8 ] that if the representation dimension of an artin algebra is upper bounded by 3, then the flnitistic dimension of the algebra is flnite, where the representation dimension, introduced by Auslander in [1], is by deflnition the minimum of the global dimensions of algebras”
- Finitistic dimension and Igusa-Todorov algebras (2009, methodology): “Using the Igusa–Todorov functor defined in [12], Xi [18–20] developed some new ideas to prove the finiteness of finitistic dimension of some artin algebras.”