Bernhard Keller

1. On triangulated orbit categories
   2005/03/13 by Bernhard Keller, Keller, Bernhard · 40 citations
   Mathematics · #18E30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT)
2. Introduction to A-infinity algebras and modules
   1999/10/31 by Bernhard Keller, Keller, Bernhard · 5 citations
   Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #math.KT #math.RA #msc:16D90 #msc:18E30 #msc:18G10 #msc:18G40 #msc:55U35
3. Derived equivalences from mutations of quivers with potential
   2009/06/03 by Bernhard Keller, Dong Yang, Keller, Bernhard +1 · 10 citations
   Mathematics · Chemistry · Physics and Astronomy · #Algebraic structures and combinatorial models #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons
4. Hochschild cohomology and derived Picard groups
   2003/10/15 by Bernhard Keller, Keller, Bernhard · 4 citations
   Mathematics · #16E40 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT) #math.AG #math.KT #msc:16E40
5. From triangulated categories to cluster algebras
   2005/06/01 by Philippe Caldero, Bernhard Keller, Caldero, Philippe +1 · 3 citations
   Mathematics · Physics and Astronomy · #16G20 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G20 #msc:18E30
6. Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
   2005/12/20 by Bernhard Keller, Idun Reiten, Keller, Bernhard +1 · 3 citations
   Mathematics · Physics and Astronomy · #16G20 #16G50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
7. On the combinatorics of rigid objects in 2-Calabi-Yau categories
   2007/09/06 by Raïka Dehy, Dehy, Raika, Bernhard Keller +1 · 2 citations
   Mathematics · #18E30 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)
8. Completing perfect complexes
   2018/05/28 by Tobias Barthel, Barthel, Tobias, Bernhard Keller +3 · 4 citations
   Mathematics · #14F05 #16E35 #18E30 (primary) #55P42 (secondary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
9. Linear independence of cluster monomials for skew-symmetric cluster\n algebras
   2012/03/06 by Giovanni Cerulli Irelli, Bernhard Keller, Irelli, Giovanni Cerulli +5 · 2 citations
   Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Topics in Algebra
10. Deformed Calabi-Yau Completions
    2009/08/24 by Bernhard Keller, Keller, Bernhard · 4 citations
    Mathematics · #18E30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
11. A survey on maximal green sequences
    2019/04/19 by Laurent Demonet, Bernhard Keller, Demonet, Laurent +1 · 2 citations
    Mathematics · #13F60 #14N35 #18E30 #18E40 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras
12. On Amiot's conjecture
    2023/11/11 by Bernhard Keller, Keller, Bernhard, Junyang Liu +1 · 4 citations
    Mathematics · #16E35 #18G80 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Symplectic Geometry (math.SG)
13. The Derived Auslander-Iyama Correspondence
    2022/08/30 by Gustavo Jasso, Jasso, Gustavo, Bernhard Keller +3 · 3 citations
    Mathematics · #18G80 (Primary) 18N40 (Secondary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)
14. On the (non)vanishing of some "derived" categories of curved dg algebras
    2009/05/23 by Bernhard Keller, Wendy Lowen, Keller, Bernhard +3 · 1 citation
    Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology
15. Algèbres amassées et applications
    2009/11/15 by Bernhard Keller, Keller, Bernhard · 1 citation
    Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Nonlinear Waves and Solitons