Jan Schröer

Articles and Preprints

Preprints

  1. C. Geiß, B. Leclerc, J. Schröer
    Rigid modules and Schur roots
    Preprint (2018), 36pp., arXiv:1812.09663.

  2. C. Geiß, B. Leclerc, J. Schröer
    Quantum cluster algebras and their specializations
    Preprint (2018), 12pp., arXiv:1807.09826.

  3. C. Geiß, B. Leclerc, J. Schröer
    Cluster algebra structures and semicanonical bases for unipotent groups
    Preprint (2007), 121pp., arXiv:math/0703039, pdf (This will not be published elsewhere. Parts of it went into other publications.)

Published

  1. G. Bobinski, J. Schröer
    Algebras with irreducible module varieties I
    Advances in Mathematics 343 (2019), 624-639.

  2. G. Bobinski, J. Schröer
    Algebras with irreducible module varieties II: Two vertex case
    Journal of Algebra 518 (2019), 384-411.

  3. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions
    Selecta Mathematica (N.S.) 24 (2018), no. 4, 3283-3348.

  4. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices V: Caldero-Chapoton formula
    Proceedings of the London Mathematical Society (3) 117 (2018), no. 1, 125-148.

  5. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices II: Change of symmetrizers
    International Mathematics Research Notices (2018), no. 9, 2866-2898.

  6. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices I: Foundations
    Inventiones Mathematicae 209 (2017), 61-158.

  7. C. Geiß, B. Leclerc, J. Schröer
    Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras
    Representation Theory 20 (2016), 375-413.

  8. C. Geiß, D. Labardini-Fragoso, J. Schröer
    The representation type of Jacobian algebras
    Advances in Mathematics 290 (2016), 364-452.

  9. G. Cerulli Irelli, D. Labardini-Fragoso, J. Schröer
    Caldero-Chapoton algebras
    Transactions of the American Mathemartical Society 367 (2015), no. 4, 2787-2822.

  10. C. Geiß, B. Leclerc, J. Schröer
    Factorial cluster algebras
    Documenta Mathematica 18 (2013), 249-274. pdf

  11. C. Geiß, B. Leclerc, J. Schröer
    Cluster algebras in algebraic Lie theory
    Transformation Groups 18 (2013), no. 1, 149-178. pdf

  12. C. Geiß, B. Leclerc, J. Schröer
    Cluster structures on quantum coordinate rings
    Selecta Mathematica (N.S.) 19 (2013), 337-397. pdf

  13. C. Geiß, B. Leclerc, J. Schröer
    Generic bases for cluster algebras and the Chamber Ansatz
    Journal of the American Mathematical Society 25 (2012), 21-76. pdf

  14. C. Geiß, B. Leclerc, J. Schröer
    Kac-Moody groups and cluster algebras
    Advances in Mathematics 228 (2011), 329-433. pdf

  15. C. Geiß, B. Leclerc, J. Schröer
    Preprojective algebras and cluster algebras
    In: Trends in representation theory of algebras and related topics, 253-283, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich (2008).

  16. C. Geiß, B. Leclerc, J. Schröer
    Partial flag varieties and preprojective algebras
    Annales de l'Institut Fourier 58 (2008), no.3, 825-876. pdf

  17. C. Geiß, B. Leclerc, J. Schröer
    Auslander algebras and initial seeds for cluster algebras
    Journal of the London Mathematical Society (2) 75 (2007), 718-740. pdf

  18. C. Geiß, B. Leclerc, J. Schröer
    Semicanonical bases and preprojective algebras II: A multiplication formula
    Compositio Mathematica 143 (2007), 1313-1334. pdf,

  19. C. Geiß, B. Leclerc, J. Schröer
    Verma modules and preprojective algebras
    Nagoya Mathematical Journal 182 (2006), 241-258.
    Special Volume on the occasion of Lusztig's sixties birthday. pdf

  20. C. Geiß, B. Leclerc, J. Schröer
    Rigid modules over preprojective algebras
    Inventiones Mathematicae 165 (2006), 589-632. pdf

  21. C. Geiß, J. Schröer
    Extension-orthogonal components of preprojective varieties
    Transactions of the American Mathematical Society 357 (2005), 1953-1962. pdf

  22. C. Geiß, B. Leclerc, J. Schröer
    Semicanonical bases and preprojective algebras
    Annales Scientifiques de l'Ecole Normale Superieure 38 (2005), 193-253. pdf

  23. K. Erdmann, T. Holm, O. Iyama, J. Schröer
    Radical embeddings and representation dimension
    Advances in Mathematics 185 (2004), 159-177.

  24. J. Schröer
    Varieties of pairs of nilpotent matrices annihilating each other
    Commentarii Mathematici Helvetici 79 (2004), 396-426. pdf

  25. C. Geiß, J. Schröer
    Varieties of modules over tubular algebras
    Colloquium Mathematicum 95 (2003), 163-183.

  26. J. Schröer, A. Zimmermann
    Stable endomorphism algebras of modules over special biserial algebras
    Mathematische Zeitschrift 244 (2003), 515-530.

  27. M. Prest, J. Schröer
    Serial functors, Jacobson radical and representation type
    Journal of Pure and Applied Algebra 170 (2002), 295-307.

  28. W. Crawley-Boevey, J. Schröer
    Irreducible components of varieties of modules
    Journal für die Reine und Angewandte Mathematik (Crelle) 553 (2002), 201-220. pdf

  29. M. Barot, J. Schröer
    Module varieties over canonical algebras
    Journal of Algebra 246 (2001), 175-192.

  30. J. Schröer
    On the Krull-Gabriel dimension of an algebra
    Mathematische Zeitschrift 233 (2000), 287-303.

  31. J. Schröer
    On the infinite radical of a module category
    Proceedings of the London Mathematical Society (3) 81 (2000), 651-674.

  32. J. Schröer
    The Krull-Gabriel dimension of an algebra - open problems and conjectures
    In: Infinite length modules (Bielefeld, 1998), 419-424.
    Trends Math., Birkhäuser, Basel (2000).

  33. J. Schröer
    Modules without self-extensions over gentle algebras
    Journal of Algebra 216 (1999), 178-189.

  34. J. Schröer
    On the quiver with relations of a repetitive algebra
    Archiv der Mathematik (Basel) 72 (1999), 426-432.