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April 30, 2025

Some Preprints of Gerhard Hiss


  1. G. HISS AND R. LUTOWSKI, The eigenvalue one property of finite groups, I, Preprint, 2025. [pdf-file]
  2. G. HISS AND F. LÜBECK, The irreducible Brauer characters of the automorphism group of the Chevalley group F4(2), Preprint, 2024. [pdf-file]
  3. G. HISS AND R. LUTOWSKI, The R∞-property of flat manifolds: Toward the eigenvalue one property of finite groups, Preprint, 2024. [pdf-file]
  4. J. AN, G. HISS AND F. LÜBECK, The inductive blockwise Alperin weight condition for the Chevalley groups F4(q), Mem. Amer. Math. Soc. 304 , Number 1530, 2024. Published online: December 2024. ISSN: 0065-9266 (print); 1947-6221 (online)), DOI: https://doi.org/10.1090/memo/1530. [pdf-file]
  5. G. HISS AND C. LASSUEUR, On the source algebra equivalence class of blocks with cyclic defect groups, I, Beitr. Algebra Geom. 65 (2024), 187-207. Published online: 04 Jan 2023. DOI: 10.1007/s13366-022-00681-9. [pdf-file]
  6. 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]
  7. 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]
  8. 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]
  9. G. HISS AND L. ORTJOHANN, A note on the construction of right conjugacy closed loops, Quasigroups Related Systems 28 (2020), 229-236. [pdf-file]
  10. 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]
  11. 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]
  12. 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]
  13. G. HISS AND K. MAGAARD, Imprimitive irreducible modules for finite quasisimple groups, II, Trans. Amer. Math. Soc. 371 (2019), 833-882. [pdf-file]
  14. 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]
  15. T. GERBER AND G. HISS, Branching graphs for finite unitary groups in non-defining characteristic, Comm. Algebra 45 (2017), 561-574. [pdf-file] [Corrigendum ]
  16. 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]
  17. 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]
  18. 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]
  19. 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]
  20. G. HISS, S. KOENIG, AND N. NAEHRIG, On the socle of an endomorphism algebra, J. Pure Appl. Algebra 216 (2012), 1288-1294. [pdf-file]
  21. 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]
  22. G. HISS AND N. NAEHRIG, The Indecomposable Liftable Modules in Cyclic Blocks, Preprint, 2010. [pdf-file]
  23. 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]
  24. J. AN AND G. HISS, Restricting Unipotent Characters in Finite Symplectic Groups, Comm. Algebra 39 (2011), 1104 - 1130. [pdf-file]
  25. G. HISS AND A. ZALESSKI, Tensoring Generalized Characters with the Steinberg Character, Proc. Amer. Math. Soc. 138 (2010), 1907 - 1921. [pdf-file]
  26. H.-X. CHEN AND G. HISS, Notes on the Drinfeld double of finite-dimensional group algebras, Algebra Colloq. 19 (2012), 483-492. [pdf-file]
  27. G. HISS, Principal blocks and the Steinberg character, Algebra Colloq. 17 (2010), 361 - 364. [pdf-file]
  28. 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 ]
  29. G. HISS AND A. SZCZEPANSKI, Spin structures on flat manifolds with cyclic holonomy, Comm. Algebra 36 (2008), 11 - 22. [pdf-file] [Corrigendum ]
  30. J. AN AND G. HISS, Restricting the Steinberg character in finite symplectic groups, J. Group Theory 9 (2006), 251 - 264. [pdf-file]
  31. G. HISS, M. NEUNHÖFFER, AND F. NOESKE , The 2-modular characters of the Fischer group Fi23, J. Algebra 300 (2006), 555 - 570. [pdf-file]
  32. G. HISS, A note on the Chevalley property of finite group algebras, preprint, 2004. [pdf-file]
  33. G. HISS, Die sporadischen Gruppen, Jahresber. Deutsch. Math.-Verein. 105 (2003), 169 - 194. [ps-file]
  34. 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]
  35. 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]
  36. 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]
  37. 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]
  38. 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]

  39. 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).

  40. 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]
  41. G. HISS AND G. MALLE, Low-dimensional representations of special unitary groups, J. Algebra 236 (2001), 745 -767. [dvi-file] [ps-file]
  42. 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]
  43. 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]
  44. G. HISS AND G. MALLE, Low-dimensional representations of quasi-simple groups, LMS J. Comput. Math. 4 (2001), 22 - 63. [dvi-file] [ps-file]
  45. 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]