On Lie powers of regular modules in characteristic 2

L. G. Kovács; Ralph Stöhr

Rendiconti del Seminario Matematico della Università di Padova (2004)

  • Volume: 112, page 41-69
  • ISSN: 0041-8994

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Kovács, L. G., and Stöhr, Ralph. "On Lie powers of regular modules in characteristic 2." Rendiconti del Seminario Matematico della Università di Padova 112 (2004): 41-69. <http://eudml.org/doc/108647>.

@article{Kovács2004,
author = {Kovács, L. G., Stöhr, Ralph},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Lie powers; regular modules of finite groups; Klein four group; decompositions; indecomposables; direct summands; free Lie algebras; Krull-Schmidt multiplicities},
language = {eng},
pages = {41-69},
publisher = {Seminario Matematico of the University of Padua},
title = {On Lie powers of regular modules in characteristic 2},
url = {http://eudml.org/doc/108647},
volume = {112},
year = {2004},
}

TY - JOUR
AU - Kovács, L. G.
AU - Stöhr, Ralph
TI - On Lie powers of regular modules in characteristic 2
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 112
SP - 41
EP - 69
LA - eng
KW - Lie powers; regular modules of finite groups; Klein four group; decompositions; indecomposables; direct summands; free Lie algebras; Krull-Schmidt multiplicities
UR - http://eudml.org/doc/108647
ER -

References

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  1. [1] YU. A. BAKHTURIN, Identities in Lie algebras (Russian), «Nauka», Moscow, 1985. English Translation: VNU Sci. Press, Utrecht, 1987. Zbl0571.17001MR785004
  2. [2] N. BOURBAKI, Éléments de mathématique. Fasc. XXXVII. Groupes et algèbres de Lie. Chapitre II: Algèbres de Lie libres. Chapitre III: Groupes de Lie, Hermann, Paris, 1972. Zbl0244.22007MR573068
  3. [3] R. M. BRYANT - L. G. KOVÁCS - R. STÖHR, Free Lie algebras as modules for symmetric groups, J. Austral. Math. Soc. Ser. A, 67, no. 2 (1999), pp. 143-156. Zbl0949.17002MR1717410
  4. [4] R. M. BRYANT - L. G. KOVÁCS - R. STÖHR, Lie powers of modules for groups of prime order, Proc. London Math. Soc., 84 (2002), pp. 343-374. Zbl1021.20008MR1881395
  5. [5] R. M. BRYANT - L. G. KOVÁCS - R. STÖHR, Invariant bases for free Lie rings, Quart. J. Math., 53 (2002), pp. 1-17. Zbl1033.17007MR1887666
  6. [6] R. M. BRYANT - L. G. KOVÁCS - R. STÖHR, Lie powers of modules for GL(2, p), J. Algebra, 260 (2003), pp. 617-630. Zbl1130.20309MR1967314
  7. [7] R. M. BRYANT - I. C. MICHOS, Lie powers of free modules for certain groups of prime power order, J. Austral. Math. Soc., 71 (2001), pp. 149-158. Zbl1036.17003MR1846944
  8. [8] R. M. BRYANT - R. STÖHR, Fixed points of automorphisms of free Lie algebras, Arch. Math., 67, no. 4 (1996), pp. 281-289. Zbl0853.17003MR1407330
  9. [9] R. M. BRYANT - R. STÖHR, On the module structure of free Lie algebras, Trans. Amer. Math. Soc., 352, no. 2 (2000), pp. 901-934. Zbl1017.17007MR1621725
  10. [10] S. B. CONLON, Certain representation algebras, J. Austral. Math. Soc., 5 (1965), pp. 83-99. Zbl0229.16009MR185024
  11. [11] S. GUILFOYLE - R. STÖHR, Invariant bases for free Lie algebras, J. Algebra, 204, no. 1 (1998), pp. 337-346. Zbl0977.17003MR1623989
  12. [12] I. C. MICHOS, Finite groups acting on free Lie algebras, PhD Thesis, Manchester, 1998. 
  13. [13] R. STÖHR, Restricted Lazard elimination and modular Lie powers, J. Austral. Math. Soc., 71 (2001), pp. 259-277. Zbl1042.17003MR1847196

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