- When is a cellular algebra quasi-hereditary? (joint with Changchang Xi) ps-file: 193: Mathematische Annalen 315 (1999), 281-293. Quasi-hereditary algebras are characterized among the cellular ones by having finite global dimension or equivalently having Cartan determinant one. As a consequence we determine precisely when a Brauer or a partition algebra is quasi-hereditary. Here we use C.C.Xi's recent construction of a cell chain for the partition algebra. His paper Partition algebras are cellular appeared in Compositio Mathematica 119, 107-118 (1999).
- Cellular algebras and quasi-hereditary algebras: a comparison (joint with Changchang Xi) ps-file: 320: ERA 5, 71-75 (1999). Survey on some recent results on cellular algebras.
- Cellular algebras: inflations and Morita equivalences (joint with Changchang Xi) ps-file: 574: Journal of the London Mathematical Society 60, 700-722 (1999). A linear algebra construction of cellular algebras is given, which has been used in other papers to prove that Brauer or partition algebras are cellular. As a consequence we prove that cellular structures can be transported by Morita equivalences if and only if the ground field has characteristic different from two.
- On the number of cells of a cellular algebra (joint with Changchang Xi) ps-file: 338: Communications in Algebra 27, 5463-5470 (1999). An example is given of a cellular algebra having two different cellular structures given by cell chains of two different lengths.
- On cellular algebras (joint with Changchang Xi) ps-file: 460: appeared in: Algebras and Modules II, Proceedings of ICRA VIII (Geiranger), CMS Conference Proceedings. By a mistake of the publisher, the printed version is not the final one. The latter one is given here and contains less misprints. Cellular algebras (defined by Graham and Lehrer) are related to quasi-hereditary ones, and some of Graham and Lehrer's results are given new and different proofs.

- Strong symmetry defined by twisting modules, applied to quasi-hereditary algebras with triangular decomposition and vanishing radical cube (joint with Changchang Xi); Communications in Mathematical Physics 197, 427-441 (1998). A new symmetry of certain quasi-hereditary algebras with triangular decomposition is studied. As applications we get a new proof of the structure of blocks of Temperley-Lieb algebras and we generalize some previous results by Deng and Xi on characteristic tilting modules over certain quasi-hereditary algebras.
- A criterion for quasi-hereditary, and an abstract straightening formula ; Inventiones Mathematicae 127, 481-488 (1997).
- Exact Borel subalgebras of quasi-hereditary algebras, I (with an appendix by Leonard Scott); Mathematische Zeitschrift 220, 399-426 (1995). (Note: Theorems E and F are wrong. The problem whether a Schur algebra has an exact Borel subalgebra at present is open.)
- Exact Borel subalgebras of quasi-hereditary algebras, II; Communications in Algebra 23, 2331-2344 (1995).
- Strong exact Borel subalgebras of quasi-hereditary algebras and abstract Kazhdan-Lusztig theory; accepted (in 1994) for publication in Advances in Mathematics. Advances in Mathematics 147, 110-137 (1999).
- Exact Borel subalgebras of quasi-hereditary algebras and Kazhdan-Lusztig theory; Comptes Rendus Acad.Sci.Paris 318, 601-606 (1994).
- Cartan decompositions and BGG-resolutions; Manuscripta Mathematica 86, 103-111 (1995).
- On the global dimension of quasi-hereditary algebras with triangular decomposition; Proceedings of the American Mathematical Society 124, 1993-1999 (1996).
- Strong exact Borel subalgebras and global dimensions of quasi-hereditary algebras; Proceedings of ICRA VII (Mexico), Canadian Math.Soc. Conference Proceedings 18, 399-417 (1996).
- A guide to exact Borel subalgebras of quasi-hereditary algebras; in: V. Dlab, H. Lenzing (Editors), Representations of Algebras, Sixth International Conference, Ottawa 1992 (Canadian Mathematical Society Conference Proceedings, CMS Vol. 14), 291-308 (1993).
- Projective resolutions and quasi-heredity; Archiv der Mathematik 58 (1992), 7-13.
- Exakte Borel-Teilalgebren von quasi-erblichen Algebren und Kazhdan-Lusztig-Theorie; Habilitationsschrift, Fakultaet Mathematik der Universitaet Stuttgart (1993), 155 pp.

- Tilting selfinjective algebras and Gorenstein orders (joint with A.Zimmermann); Quarterly Journal of Mathematics (Oxford) 48, 351-361 (1997).
- Tilting hereditary orders (joint with A.Zimmermann); Communications in Algebra 24, 1897-1913 (1996).
- Tilting complexes, perpendicular categories and recollements of derived module categories of rings; Journal of Pure and Applied Algebra 73 (1991), 211-232.

- Every order is the endomorphism ring of a projective module over a quasi-hereditary order; Communications in Algebra 19 (1991), 2395-2401.
- Global dimension two orders are quasi-hereditary (joint with A. Wiedemann); Manuscripta Mathematica 66 (1989), 17-23.
- Quasi-hereditary orders; Manuscripta Mathematica 68 (1990), 417-433.

- Tame and wild socle-projective categories and generalized Baeckstroem orders; Communications in Algebra 18 (1990), 889-925.
- A classification theorem for generalized Baeckstroem orders; Communications in Algebra 17 (1989), 11-32.
- Zahme und wilde verallgemeinerte Baeckstroemordnungen und ihre Auslander-Reiten-Koecher; Dissertation, Universitaet Stuttgart (1988), 90 pp.