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March 15, 2023

Some Preprints of Gerhard Hiss


  1. J. AN, G. HISS AND F. LÜBECK, The inductive blockwise Alperin weight condition for the Chevalley groups F4(q), Mem. Amer. Math. Soc., to appear. [pdf-file]
  2. G. HISS AND C. LASSUEUR, On the source algebra equivalence class of blocks with cyclic defect groups, I, Beitr. Algebra Geom., Published online: 04 Jan 2023. DOI: 10.1007/s13366-022-00681-9. [pdf-file]
  3. G. HISS, R. LUTOWSKI AND A. SZCZEPANSKI, Flat manifolds with holonomy representation of quaternionic type, Comm. Algebra 49 (2021), 1286-1294. Published online: 28 Oct 2020. DOI: 10.1080/00927872.2020.1834568. [pdf-file]
  4. G. HISS AND C. LASSUEUR, The classification of the trivial source modules in blocks with cyclic defect groups, Algebr. Represent. Theory 24 (2021), 673-698. DOI: 10.1007/s10468-020-09965-x. [pdf-file]
  5. G. HISS, On maximal embeddings of finite quasisimple groups, Comm. Algebra 49 (2020), 403-408. Published online: 08 Aug 2020. DOI: 10.1080/00927872.2020.1800024. [pdf-file]
  6. G. HISS AND L. ORTJOHANN, A note on the construction of right conjugacy closed loops, Quasigroups Related Systems 28 (2020), 229-236. [pdf-file]
  7. G. HISS AND M. SCHRÖER, Two conjectures on the Weil representations of finite symplectic and unitary groups, J. Algebra 558 (2020), 485-490. [pdf-file]
  8. T. BREUER, G. HISS, F. LÜBECK AND K. LUX, The completion of the 3-modular character table of the Chevalley group F4(2) and its covering group, Math. Comp. 88 (2019), 3023-3040. [pdf-file]
  9. L. GÖRGEN, G. HISS AND K. LUX, The computation of the 3-modular characters of the Fischer group Fi23, Experiment. Math. 28 (2019), 185-193. [pdf-file]
  10. G. HISS AND K. MAGAARD, Imprimitive irreducible modules for finite quasisimple groups, II, Trans. Amer. Math. Soc. 371 (2019), 833-882. [pdf-file]
  11. K. ARTIC AND G. HISS, On right conjugacy closed loops of twice prime order, in: N. N. Sastry and M. K. Yadav (Eds.), Group Theory and Computation, Springer, 2018, pp. 1-27. [pdf-file]
  12. T. GERBER AND G. HISS, Branching graphs for finite unitary groups in non-defining characteristic, Comm. Algebra 45 (2017), 561-574. [pdf-file] [Corrigendum ]
  13. T. GERBER, G. HISS, AND N. JACON, Harish-Chandra Series in Finite Unitary Groups and Crystal Graphs, Int. Math. Res. Not. 2015, No. 22 (2015), 12206-12250. DOI: 10.1093/imrn/rnv058, Advance Access published March 9, 2015. [pdf-file]
  14. G. HISS, W. J. HUSEN AND K. MAGAARD, Imprimitive irreducible modules for finite quasisimple groups, Mem. Amer. Math. Soc. Volume 234, Number 1104, 2015, ISBN: 978-1-4704-0960-9 (print), DOI: http://dx.doi.org/10.1090/memo/1104, Published electronically: August 1, 2014. [pdf-file]
  15. G. HISS, J. MÜLLER, F. NOESKE AND J. THACKRAY, The Brauer characters of the sporadic simple Harada-Norton group and its automorphism group in characteristics 2 and 3, LMS J. Comput. Math. 15 (2012), 257-280. [pdf-file]
  16. G. HISS AND N. NAEHRIG, The Classification of the Indecomposable Liftable Modules in Blocks with Cyclic Defect Groups, Bull. Lond. Math. Soc. 44 (2012), 974-980. [pdf-file]
  17. G. HISS, S. KOENIG, AND N. NAEHRIG, On the socle of an endomorphism algebra, J. Pure Appl. Algebra 216 (2012), 1288-1294. [pdf-file]
  18. G. HISS AND F. LÜBECK, Some remarks on two-transitive permutation groups as multiplication groups of quasigroups, in: N. S. Narasimha Sastry (Ed.), Buildings, Finite Geometries and Groups, Springer, 2011, pp. 81-91. [pdf-file]
  19. G. HISS AND N. NAEHRIG, The Indecomposable Liftable Modules in Cyclic Blocks, Preprint, 2010. [pdf-file]
  20. G. HISS, Finite groups of Lie type and their representations, in: C. M. Campbell, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal, G. C. Smith and G. Traustason (Eds.), Groups St Andrews 2009 in Bath, Cambridge University Press, Cambridge, 2011, pp. 1-40. [pdf-file]
  21. J. AN AND G. HISS, Restricting Unipotent Characters in Finite Symplectic Groups, Comm. Algebra 39 (2011), 1104 - 1130. [pdf-file]
  22. G. HISS AND A. ZALESSKI, Tensoring Generalized Characters with the Steinberg Character, Proc. Amer. Math. Soc. 138 (2010), 1907 - 1921. [pdf-file]
  23. H.-X. CHEN AND G. HISS, Notes on the Drinfeld double of finite-dimensional group algebras, Algebra Colloq. 19 (2012), 483-492. [pdf-file]
  24. G. HISS, Principal blocks and the Steinberg character, Algebra Colloq. 17 (2010), 361 - 364. [pdf-file]
  25. G. HISS AND A. ZALESSKI, with an appendix by O. BRUNAT, The Weil-Steinberg character of finite classical groups, Represent. Theory 13 (2009), 427 - 459. [pdf-file] [Corrigendum ]
  26. G. HISS AND A. SZCZEPANSKI, Spin structures on flat manifolds with cyclic holonomy, Comm. Algebra 36 (2008), 11 - 22. [pdf-file] [Corrigendum ]
  27. J. AN AND G. HISS, Restricting the Steinberg character in finite symplectic groups, J. Group Theory 9 (2006), 251 - 264. [pdf-file]
  28. G. HISS, M. NEUNHÖFFER, AND F. NOESKE , The 2-modular characters of the Fischer group Fi23, J. Algebra 300 (2006), 555 - 570. [pdf-file]
  29. G. HISS, A note on the Chevalley property of finite group algebras, preprint, 2004. [pdf-file]
  30. G. HISS, Die sporadischen Gruppen, Jahresber. Deutsch. Math.-Verein. 105 (2003), 169 - 194. [ps-file]
  31. G. HISS AND F. LÜBECK, Some observations on products of characters of finite classical groups, in: C. Y. Ho, P. Sin, P. H. Tiep, and A. Turull (Eds.), Finite Groups 2003, Proceedings of the Gainesville Conference on Finite Groups, March 6-12, 2003, de Gruyter, 2004. [pdf-file] [ps-file]
  32. H.-X. CHEN AND G. HISS, Projective summands in tensor products of simple modules of finite dimensional Hopf algebras, Comm. Algebra 32 (2004), 4247 - 4264. [pdf-file] [ps-file]
  33. G. HISS AND R. KESSAR, Scopes reduction and Morita equivalence classes of blocks in finite classical groups II, J. Algebra 283 (2005), 522 - 563. [dvi-file] [ps-file]
  34. G. HISS, Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups, Indag. Math. (N.S.) 15 (2004), 223-243. [pdf-file] [ps-file]
  35. G. HISS, Zerlegungszahlen endlicher Gruppen vom Lie-Typ in nicht-definierender Charakteristik, Habilitationsschrift, RWTH Aachen, 1990.

    This is my Habilitationsschrift. It contains, among other things, the generic character tables of the Chevalley groups G2(q). [dvi-file, 826 KB] [ps-file (A4-format), 1821 KB] [ps-file (letter-format), 1823 KB]

  36. G. HISS, C. JANSEN, K. LUX, AND R. PARKER, Computational Modular Character Theory, Preprint, 1993.

    You find more about this book here (arXiv:1901.08453).

  37. G. HISS AND R. KESSAR, Scopes reduction and Morita equivalence classes of blocks in finite classical groups, J. Algebra 230 (2000), 378 - 423. [dvi-file] [ps-file]
  38. G. HISS AND G. MALLE, Low-dimensional representations of special unitary groups, J. Algebra 236 (2001), 745 -767. [dvi-file] [ps-file]
  39. G. HISS, On a question of Brauer in modular representation theory of finite groups, in: S. KOSHITANI (Ed.): Representation Theory of Finite Groups and Related Topics, RIMS Kokyuroku 1149, Kyoto University, Kyoto, 2000, pp. 21 - 29. [dvi-file] [ps-file]
  40. G. HISS, Morita equivalences between blocks of finite Chevalley groups, in: N. KAWANAKA , G. MICHLER, AND K. UNO (Eds.): The Proceedings of "Representation Theory of Finite and Algebraic Groups" , Osaka University, Osaka, 2000, pp. 128 - 136. [dvi-file] [ps-file]
  41. G. HISS AND G. MALLE, Low-dimensional representations of quasi-simple groups, LMS J. Comput. Math. 4 (2001), 22 - 63. [dvi-file] [ps-file]
  42. G. HISS, Algorithms of Representation Theory, Section 2.8 of: J. GRABMEIER, E. KALTOFEN, AND V. WEISPFENNING (Eds.), Computer Algebra Handbook, Springer 2003, pp. 84 - 88. [pdf-file]