×

Principal indecomposable representations for the group SL(2,q). (English) Zbl 0286.20010


MSC:

20C20 Modular representations and characters
20G05 Representation theory for linear algebraic groups
Full Text: DOI

References:

[1] A. Borel; A. Borel
[2] Brauer, R.; Nesbitt, C., On the modular characters of groups, Ann. of Math., 42, 556-590 (1941) · JFM 67.0073.02
[3] Curtis, C. W., Representations of Lie algebras of classical type with applications to linear groups, J. Math. Mech., 9, 307-326 (1960) · Zbl 0089.25302
[4] Curtis, C. W.; Reiner, I., Representation Theory of Finite Groups and Associative Algebras (1962), Interscience: Interscience New York · Zbl 0131.25601
[5] Green, J. A., On the indecomposable representations of a finite group, Math. Z., 70, 430-445 (1959) · Zbl 0086.02403
[6] Higman, D. G., Modules with a group of operators, Duke Math. J., 21, 369-376 (1954) · Zbl 0055.25502
[7] Humphreys, J. E., Modular representations of classical Lie algebras and semisimple groups, J. Algebra, 19, 51-79 (1971) · Zbl 0219.17003
[8] Humphreys, J. E., Projective modules for \(SL (2, q)\), J. Algebra, 25, 513-518 (1973) · Zbl 0258.20010
[9] Johnson, D. L., On the cohomology of finite 2-groups, Inventiones Math., 7, 159-173 (1969) · Zbl 0176.30003
[10] Srinivasan, B., On the modular characters of the special linear group \(SL (2,p^n )\), (Proc. London Math. Soc., 14 (1964)), 101-114 · Zbl 0118.03803
[11] Steinberg, R., Representations of Algebraic groups, Nagoya Math. J., 22, 33-56 (1964) · Zbl 0271.20019
[12] Steinberg, R., Lectures on Chevalley Groups, Yale Lecture Notes (1967-1968) · Zbl 1196.22001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.