Publications of Jorn B. Olsson

Publications of Jørn B. Olsson

Links from the titles are to online versions of the papers. In some cases the access is restricted.
This page also contains links to scanned versions my two set of lecture notes from University of Essen (1982 and 1993)
List of publications as pdf-file (may not be up-to-date)

En Tankeflugt mod det Evige bliver tidt begrændset ved at nedskrives paa Papiret ( Poul Martin Møller )

73. Complex group algebras of the double covers of the symmetric and alternating groups (with C. Bessenrodt, H. N. Nguyen and H. P. Tong-Viet), preprint 2013, pdf-file
72. On bar lengths in partitions (with J.-B. Gramain), (preprint, arXiv), Proc. Edinburgh Math.Soc. 56 (2013), 535-550.
71. Combinatorial remarks about a "remarkable identity" (with James A. Sellers) Math. Magazine 85 (2012), 283-288 (preprint, pdf-file)
70. Submatrices of character tables and basic sets (with C. Bessenrodt) J. Combinatorial Th. (Ser. A) 119 (2012), 1774-1788 (preprint arXiv)
69. Unique path partitions: Characterization and Congruence (with C. Bessenrodt and James A. Sellers) (preprint, arXiv), to appear in Annals of Combinatorics
68. Generalized hook lengths in symbols and partitions (with C. Bessenrodt and J.-B. Gramain), J. Alg. Comb. 36 (2012), 309-332 (preprint arXi v),
67. Generalized hook lengths and relative hook degree formulas, Oberwolfach Reports, 8 (2011) 1193-94
66. Sign conjugacy classes in symmetric groups, J. Algebra 322 (2009), 2793-2800 ( preprint arXiv )
65. Core partitions and block coverings, Proc. Amer. Math. Soc. 137 (2009), 2943-2951 (preprint (completely revised version December 2008) pdf-file)
64. A theorem on the cores of partitions , J. Combinatorial Theory A 116(2009) 733-740 (preprint: pdf-file arXiv)
63 On the Navarro-Willems conjecture for blocks of finite groups (with C. Bessenrodt, G. Navarro and PH Tiep), J. Pure Applied Algebra 208 (2007), 481-484 (preprint pdf-file)
62. Block inclusions and cores of partitions (with D. Stanton), Aequationes Math. 74 (2007) 90-110 (preprint pdf-file)
61. Spin block inclusions (with C. Bessenrodt), J. Algebra 306 (2006), 3-16 (preprint pdf-file)
60. On block identities and block inclusions, mini-survey 2006, pdf-file Oberwolfach Reports 3 (2006), 912-914
59. Separating characters by blocks (with C. Bessenrodt and G. Malle), J. London Math. Soc 73(2006), 493-505 (preprint 2004-05, pdf-file )
58. Weights of partitions and character zeros (with C. Bessenrodt), The Electronic Journal of Combinatorics 11(2) (2004-2005) R5, 13 pp, (preprint 2004: pdf-file)
57. On character tables related to the alternating groups (with C. Bessenrodt), Séminaire Lotharingien de Combinatoire 52 (2004) B52c, 9 pp, (preprint 2004: pdf-file )
56. On the sequence A085642 (with C. Bessenrodt), in The On-Line Encyclopedia of Integer Sequences
55. On Cartan matrices and lower defect groups for covering groups of symmetric groups (with C. Bessenrodt), Trans. Amer. Math. Soc. 358 (2006), 3623-3635. (preprint 2004 pdf-file)
54 . Properties of some character tables related to the symmetric group s (with C. Bessenrodt and R.P.Stanley), J. Alg. Comb. 21(2005), 163-177. (preprint 2003: dvi-file ps-file arXiv)
53. Regular character tables of symmetric groups, The Electronic Journal of Combinatorics 10 (2003) N3, preprint: ps-file .
52. Generalized blocks for symmetric groups (with B. Külshammer & G.R. Robinson ), Invent. Math., 151 (2003) 513-552. (preprint: dvi-file , ps-file) ( Slides from talks on "Generalized blocks for symmetric groups", 2002)
51. A note on Cartan matrices for symmetric groups (with C. Bessenrodt), Arch. Math, .81(2003) 497-504, preprint dvi-file , ps-file
50. Spin representations, powers of 2 and the Glaisher map (with C. Bessenrodt), Algebras and Representation Theory, 8 (2005), 1-10. (preprint dvi-file , ps-file)
49. Prime power degree representations of the double covers of the symmetric and alternating groups (with C. Bessenrodt), J. London Math. Soc, 66 (2002), 313-324. (preprint: dvi-file )
48. Prime power degree representations of the symmetric and alternating groups (with A.Balog , C. Bessenrodt & K.Ono ), J. London Math. Soc, 64 (2001), 344-356. (preprint: dvi-file , ps-file , pdf-file).
47. Zeros of characters of finite groups (with G. Malle and G. Navarro), J. Group Theory, 3 (2000), 353–368. (preprint: dvi-file , ps-file , pdf-file)
46. Spin representations and powers of 2 (with C. Bessenrodt),Algebras and Representation Theory, 3 (2000), 289-300, preprint.
45. On properties of the Mullineux map with an application to Schur modules (with C. Bessenrodt & M.Xu) , Math. Proc. Camb. Phil. Soc. 126 (1999), 443-459 , preprint
44. Branching of modular representations of the alternating groups (with C. Bessenrodt), J. Algebra 209 (1998), 143-174, preprint
43. Residue symbols and Jantzen-Seitz partitions (with C. Bessenrodt), J. Combinatorial Th. (Ser. A) 81 (1998), 201-230, preprint arXiv
42. On residue symbols and the Mullineux conjecture (with C. Bessenrodt), J. Alg. Comb. 7 (1998), 227-251 , preprint /MathSciNet featured review of this article
41. A refinement of a partition identity and blocks of some modular characters, Arch. Math. 66 (1996), 101-113, (with G.E. Andrews & C. Bessenrodt).
40. Heights of spin characters in characteristic 2 (with C. Bessenrodt). . Finite Reductive Groups, Luminy 1994, Progress in Mathematics 141 (1997), 51-71.
39. The 2-blocks of the covering groups of the symmetric groups (with C. Bessenrodt) . Adv. in Math. 129 (1997), 261-300.
38. Dade's conjecture for symmetric groups (with K. Uno), J. Algebra 176 (1995), 534-560..
37. Dade's conjecture for general linear groups in the defining characteristic (with K. Uno), Proc. London Math. Soc. (3) 72 (1996), 359-384.
36. Combinatorics and representations of finite groups, Vorlesungen aus dem FB Mathematik der Univ. Essen, Heft 20, 1993.
A scanned version of these lecture notes is available HERE: pdf-file
35. Partition identities and labels for some modular characters (with G.E.Andrews & C. Bessenrodt), Trans. Amer. Math. Soc. 344 (1994), 597-617.
34. On Mullineux symbols (with C. Bessenrodt), J. Combinatorial Th. (Ser. A) 68 (1994), 340-360.
33. Decomposition matrices for spin characters of symmetric groups at characteristic 3 (with C. Bessenrodt & A.O. Morris) , J. Algebra 164 (1994), 146-172
32. Fourier transforms with respect to monomial representations (with S. Linton & G. Michler), Math. Ann. 297 (1993), 253-268.
31. Congruences like Ramanujan's for powers of the partition function, (with I. Kiming ), Arch. Math. 59 (1992), 348-360.
30. The number of modular characters in certain blocks, Proc. London Math. Soc. 65 (1992)8, 245-264.
29. Weights for covering groups of symmetric and alternating groups, p odd (with G. Michler), Can. J. Math. 43 (1991), 792-813..
28. Partition identities with an application to group representation theory (with G.E. Andrews), J. reine ang. Math. 413 (1991), 198-212 .
27. Modular cocharacters for PI-algebras, J.Algebra 143 (1991), 93-118, (with A. Regev ).
26. The Alperin-McKay conjecture holds in covering groups of symmetric and alternating groups, p odd (with G. Michler), J. reine ang. Math. 405 (1990), 78-111.
25. On the p-blocks of symmetric and alternating groups and their covering groups, J. Algebra 128 (1990), 188-213.
24. On p-quotients for spin characters (with A. O. Morris) , J. Algebra 119 (1988), 51-82.
23. Block invariants in certain groups, Proc. Symp. Pure Math. 47,I (1987), 471-474.
22. Frobenius symbols for partitions and degrees of spin characters, Math. Scand. 61 (1987), 223-247.
21. A note on a theorem of Wada, Hokkaido Math. J. 16 (1987), 145-150.
20. Subpair multiplicities in finite groups (with M. Broué), J. reine ang. Math. 371 (1986), 125-146.
19. Lower defect groups in symmetric groups, J. Algebra 104 (1986), 37-56. ( Minor correction to this paper. See here)
18. Remarks on symbols, hooks and degrees of unipotent characters, J. Combinatorial Th. (Ser. A) 42 (1986), 223-238.
17. On the number of characters in blocks of finite general linear, unitary and symmetric groups, Math. Z. 186 (1984), 41-47.
16. A note on the cores of partitions, Bayreuther Math. Schriften 4 (1983), 109-120.
15. Character correspondences in finite general linear, unitary and symmetric groups (with G. Michler), Math. Z. 184 (1983), 203-233.
14. Aus dem Nachlass von R. Brauer. Vorlesungen aus dem FB Mathematik der Univ. Essen, Band 8, 1982.
A scanned version of these lecture notes is available HERE: pdf-file
13. On subpairs and modular representation theory, J. Algebra 76 (1982), 261-279.
12. Inequalities for block theoretic invariants, in "Representations of algebras", Springer Lecture Notes 903 (1981), 270-284.
11. Lower defect groups, Comm. Algebra 8 (1980), 260-288.
10. On monomial p^a-representations of finite p-groups, Math. Scand. 41 (1977), 218-224.
9. On the subsections for certain 2-blocks, J.Algebra 46 (1977), 497-510.
8. On blocks of defect 0, in "Darstellungstheorie endlich dimensionaler Algebren", Oberwolfach 1977, 82-84.
7. On the T-ideal generated by a standard identity (with A. Regev ), Israel J. Math. 26 (1977), 97-104.
6. The colength sequence of some T -ideals (with A. Regev ), J. Algebra 38 (1976), 100-111.
5. An application of representation theory to PI-algebras (with A. Regev ) , Proc. Amer. Math. Soc. 55 (1976), 253-257.
4. On the blocks of GL(n,q) , Trans. Amer. Math. Soc. 22 (1976), 143-156.
3. McKay numbers and heights of characters, Math. Scand. 38 (1976), 25-42
2. On 2-blocks with quaternion and quasidihedral defect groups, J.Algebra 36 (1976), 212-241.
1. Odd-order extensions of some orthogonal groups, J.Algebra 28 (1974) 573-596.

Sange i parentes, Matilde 32 (2007)
Det matematiske grundlag for den udvidede tolvtonemetode (med Peter Brask), Matilde 28 (2006)
Three-group numbers (A note on finite groups, 2006) pdf-file
En dansk matematik-preprint server (Artikel i Biblioteksårbog 2002 , s 65-67, udgivet af Biblioteksstyrelsen Juni 2003) "Preprint" af artiklen
DMF's preprint server Matilde 18, 2003
En sætning om partitioner (From FAMØS december 2002, p. 9-11 written in Danish.)
Det virtuelle forskningsbibliotek, Matilde 4, 2000
1 - 2 - 3 (From FAMØS september 1996, written in Danish.)
Atonale funktioner. (En anmeldelse af "Musikalsk analyse efter Forte-metoden") (med Peter Brask), artikel i DoReMi - Musikvidenskabeligt Instituts Fagblad 4(1991) p. 10-19

Lecture notes on Group theory, written in Danish (1998-99, revised 2004, 2009) pdf-file (Danish)
Lecture notes on Classical groups, written in Danish (1998, revised 2000, 2004, 2009) pdf-file (Danish) pdf-file (English translation)
Kombinatorik, Partitioner og Repræsentationsteori. Kompendium, written in Danish 2006 (Corrected in 2012) pdf-file
Algebra 3 (with Chr. U. Jensen) Lecture notes in English 2006-2010 Chapter 1
Matematik 2AL (1990-1992) pdf-file (Danish)

The best that any mathematician can really hope for is to prove some first class theorems and have them understood by a few good mathematicians. Everything else is politics. ( M.P.Schutzenberger , according to G.E.Andrews )

Die höhere Mathematik enthält am Ende nur Abkürzungsmethoden (Novalis )