Bibliography

Ottmar Loos


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  12. An intrinsic characterization of fibre bundles associated with homogeneous spaces defined by Lie group automorphisms. Hamb. Math. Abh. 37 (1972), 160-179.
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  25. "Analytische Mechanik". Seminarausarbeitung, Universität Innsbruck, 1982.
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  30. On the socle of a Jordan pair. Collect. Math. 40 (1989), 109-125.
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  32. Fitting decomposition in Jordan systems. J. Algebra 136 (1991), 92-102.
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  35. Diagonalization in Jordan pairs. J. Algebra 143 (1991), 252-268.
  36. Properly algebraic and spectrum-finite ideals in Jordan systems. Math. Proc. Camb. Phil. Soc. 114 (1993), 149-161.
  37. (with E. Neher) Associative and Jordan shift algebras. Proc. Amer. Math. Soc. 120 (1994), 27-36.
  38. Bimodule-valued hermitian and quadratic forms. Arch. Math. 62 (1994), 134-142.
  39. (with A. Fernández and E. García) Annihilators of elements of the socle of a Jordan algebra. Comm. Algebra 22 (1994), 2837-2844.
  40. (with E. Neher) Complementation of inner ideals in Jordan pairs. J. Algebra 166 (1994), 255-295.
  41. Decomposition of projective spaces defined by unit-regular Jordan pairs. Comm. Algebra 22 (1994), 3925-3964.
  42. Recent results on finiteness conditions in Jordan pairs. In: Jordan Algebras. Proceedings of a Conference in Oberwolfach, 1992, pp. 83-95. De Gruyter, 1994.
  43. The nil radical in Jordan pairs over uncountable fields. Comm. Algebra 23 (1995), 3541-3543.
  44. Elementary groups and stability for Jordan pairs. K-Theory 9 (1995), 77-116.
  45. On the set of invertible elements in Banach Jordan algebras. Results in Math. 29 (1996), 111-114.
  46. (with J. A. Anquela, T. Cortés, K. McCrimmon) An elemental characterization of strong primeness in Jordan systems. J. Pure Appl. Algebra 109 (1996), 23-36.
  47. Tensor products and discriminants of unital quadratic forms. Mh. Math. 122 (1996), 45-98.
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  49. Discriminant algebras and adjoints of quadratic forms. Beiträge Algebra Geom. 38 (1997), 33-72.
  50. Trace and norm for reduced elements of Jordan pairs. Comm. Algebra 25 (1997), 3011-3042.
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  52. Nuclear elements in Banach Jordan pairs. In: Proceedings of the International Conference on Jordan Structures, Malaga, 1997, pp. 111-117. (A. Castellón Serrano, J.A. Cuenca Mira, A. Fernández López, C. Martín González, editors). University of Malaga, 1999.
  53. "Analysis III". Lecture Notes, Institut für Mathematik, Universität Innsbruck, 1999.
  54. 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.
  55. Polynomial functions on Jordan pairs. (Preprint 2000)
  56. Extracting square roots of Bergmann operators. Arch. Math. 77(2001), 313 - 316.
  57. (with E. Neher) Locally finite root systems. Memoirs Amer. Math. Soc. 171 (2004), no. 811, 214 pp.
  58. (with P. Alberca and C. Martín) Derivations and automorphisms of Jordan algebras in characteristic 2. J. Algebra 285 (2005), 146-181.
  59. Generically algebraic Jordan algebras over commutative rings. J. Algebra 297 (2006), 474--529.
  60. Discriminant algebras of finite rank algebras and quadratic trace modules. Math. Z. 257 (2007), 467--523.
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  62. Remarks on H. P. Petersson's ``Idempotent 2-by-2 matrices''. Seminarberichte Mathematik, Fernuniversität in Hagen 78 (2007), 173--181.
  63. (with Holger P. Petersson and Michel L. Racine) Inner derivations of alternative algebras over commutative rings. Algebra & Number Theory 2 (2008), no. 8, 927--968.
  64. (with E. Neher) Steinberg groups for Jordan pairs. C. R. Acad. Sci. Paris, Ser. I 348 (2010), 839-842.
  65. (with E. Neher) Reflection systems and partial root systems. Forum Math. 23 (2011), 349--411.
  66. Algebras with scalar involution revisited. J. Pure Appl. Algebra 215 (2011), 2805-2828.
  67. Rank one groups and division pairs. Bull. Belg. Math. Soc. Simon Stevin 21 (2014), 489--521.
  68. Division pairs: a new approach to Moufang sets. Adv. Geom. 15 (2) (2015), 189--210.