On the Representation Dimension of Finite Dimensional Algebras
By Changchang Xi. 2000
52 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6439fd797b33c449db90813c38b97347b8144932
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Osamu Iyama
- Changchang Xi
- Ibrahim Assem
- María Inés Platzeck
- Sonia Trepode
- J. Schröer
- Thorsten Holm
- B. Keller
In Geometry and Topology
- Osamu Iyama
- Changchang Xi
- Ibrahim Assem
- J. Schröer
- María Inés Platzeck
- Sonia Trepode
- Thorsten Holm
- B. Keller
In Mathematical Physics
- Osamu Iyama
- Ibrahim Assem
- María Inés Platzeck
- Sonia Trepode
- J. Schröer
- Thorsten Holm
- K. Erdmann
- Changchang Xi
Citations in the corpus
- Radical embeddings and representation dimension (2002, background): “R T ] 2 3 O ct DEDICATED TO THE MEMORY OF SHEILA BRENNER”
- On the finitistic dimension conjecture, III: Related to the pair eAe⊆A (2008, methodology): “For representation dimension, we refer to [2,4,10, 28 ,31,32] and the references therein.”
- On the representation dimension of tilted and laura algebras (2006, methodology): “The interest in the representation dimension was recently revived by works of Xi [25, 26] and also because of its relationship with the finitistic and the Nakayama conjectures: it was shown by Igusa and Todorov in [18] that if the representation dimension of an algebra is at most 3, then its finitis”
- On the finitistic dimension conjecture I: related to representation-finite algebras (2004, background): “... k is a perfect fleld (for example, a flnite fleld, or a flled of characteristic zero, or an algebraically closed fleld) then we can drop simply the assumption that B=rad(B) and C=rad(C) are splitting semi-simple k-algebras in Proposition 3.10 and Proposition 3.11 since if B is representation-fln”