Ottmar Loos

 Fakultät für Mathematik und Informatik
 FernUniversität in Hagen
 D-58084 Hagen
 Germany
e-mail:  ottmar.loos@fernuni-hagen.de
Telefon: 02331-987-2294

Jordan Theory Preprint Archives

Fields of interest

Recent publications and preprints

• Steinberg groups for Jordan pairs (joint work with E. Neher). Birkhäuser Verlag, Progress in Mathematics, Vol. 332.
  (abstract)
• Division pairs: a new approach to Moufang sets. Adv. Geom. 15 (2) (2015), 189--210.
  (abstract and pdf-file)
• Rank one groups and division pairs. Bull. Belg. Math. Soc. Simon Stevin 21 (2014), 489--521.
  (abstract and pdf-file)
• Steinberg groups for Jordan pairs (joint work with E. Neher). Oberwolfach preprints 2011_29.
• Algebras with scalar involution revisited. J. Pure Appl. Algebra 215 (2011), 2805-2828.
  (abstract and pdf-file)
• Reflection systems and partial root systems (jointly with E. Neher). Forum Math. 23 (2011), 349--411.
  ( abstract and pdf-file )
• Steinberg groups for Jordan pairs (joint work with E. Neher). C. R. Acad. Sci. Paris, Ser. I 348 (2010), 839-842.
• Inner derivations of alternative algebras over commutative rings (joint work with Holger P. Petersson and Michel L. Racine) Algebra & Number Theory 2 (2008), no. 8, 927--968.
• Remarks on H. P. Petersson's ``Idempotent 2-by-2 matrices''. Seminarberichte Mathematik, Fernuniversität in Hagen 78 (2007), 173--181.
  ( abstract and pdf file )
• Cubic and symmetric compositions over rings. manuscr. math. 124 (2007), 195--236.
  ( abstract and pdf file )
• Discriminant algebras of finite rank algebras and quadratic trace modules. Math. Z. 257 (2007), 467--523.
  (abstract)  (pdf-file, 363KB)
• Generically algebraic Jordan algebras over commutative rings. J. Algebra 297 (2006), 474--529.
• Derivations and automorphisms of Jordan algebras in characteristic 2 (jointly with P. Alberca and C. Martín). J. Algebra 285 (2005), 146-181.
• Locally finite root systems (joint work with E. Neher). Memoirs Amer. Math. Soc. 171 (2004), no. 811, x + 214 pp.

Lecture Notes

• Das Zornsche Lemma. (pdf-Datei)
• Analysis II. Lecture Notes, Institut für Mathematik, Universität Innsbruck, 1997.
  (A2inhalt.pdf, 130KB, Vorwort und Inhaltsverzeichnis)
  (A2.pdf, 1MB)
  
• Analysis III. Lecture Notes, Institut für Mathematik, Universität Innsbruck, 1999.
  (A3inhalt.pdf, 30KB, Vorwort und Inhaltsverzeichnis)
  (A3.pdf, 904KB)
• Stückweise glatte Mengen und der Satz von Stokes: Zur Didaktik der Analysisvorlesung im 3. Semester. Seminarberichte aus dem Fachbereich Mathematik der Fernuniversität Hagen 68 (1999), 340-347.
  (pdf-Datei)

Bibliography