Document Zbl 0458.20036

The blocks of a semisimple algebraic group. (English) Zbl 0458.20036

J. Algebra 67, 36-53 (1980).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0458.20036

MSC:

20G05	Representation theory for linear algebraic groups
20G15	Linear algebraic groups over arbitrary fields
20C20	Modular representations and characters

Keywords:

blocks of irreducible rational representations; simply connected algebraic group; dominant weight; Weyl group

Citations:

Zbl 0374.20053; Zbl 0439.20026; Zbl 0398.20047; Zbl 0396.20029

Cite Review PDF

Full Text: DOI

References:

[1]	Andersen, H. H., The strong linkage principle, J. Reine Angew. Math., 315, 53-59 (1980) · Zbl 0439.20026
[2]	Ballard, J. W., Injective modules for restricted enveloping algebras, Math. Z., 163, 57-63 (1978) · Zbl 0369.17006
[3]	Cline, E.; Parshall, B.; Scott, L., Cohomology, hyperalgebras and representations, J. Algebra, 63, 98-123 (1980) · Zbl 0434.20024
[4]	Donkin, S., Problems in the Representation Theory of Algebraic Groups, (Ph. D. thesis (1977), University of Warwick) · Zbl 0607.20023
[5]	Donkin, S., Hopf complements and injective comodules for algebraic groups, (Proc. London Math. Soc., 40 (1980)), 298-319, (3) · Zbl 0442.20033
[6]	Green, J. A., Locally finite representations, J. Algebra, 41, 137-171 (1976) · Zbl 0369.16008
[7]	Humphreys, J. E., Introduction to Lie Algebras and Representation Theory, (Graduate Texts in Mathematics, No. 9 (1972), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0254.17004
[8]	Humphreys, J. E., Ordinary and Modular Representations of Chevalley Group, (Lecture Notes in Mathematics, No. 528 (1976), Springer-Verlag: Springer-Verlag New York/Berlin/Heidelberg) · Zbl 0474.20021
[9]	Humphreys, J. E., Symmetry for finite dimensional Hopf algebras, (Proc. Amer. Math. Soc., 68 (1978)), 143-146 · Zbl 0349.16001
[10]	Humphreys, J. E.; Jantzen, J. C., Blocks and indecomposable modules for semisimple algebraic groups, J. Algebra, 54, 494-503 (1978) · Zbl 0398.20047
[11]	Jantzen, J. C., U¨ber Darstellungen ho¨herer Frobenius-Kerne halbeinfacher algebraischer Gruppen, Math. Z., 164, 271-292 (1980) · Zbl 0396.20029
[12]	Jantzen, J. C., Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne, J. Reine Angew. Math., 317, 157-199 (1980) · Zbl 0451.20040
[13]	Steinberg, R., (Lectures on Chevalley groups, mimeographed lecture notes (1968), Yale Univ. Math. Dept.) · Zbl 1196.22001
[14]	Sullivan, J. B., Simply connected groups, the hyperalgebra and Verma’s conjecture, Amer. J. Math., 100, 1015-1019 (1978) · Zbl 0415.14028
[15]	Winter, P. W., On the modular representation theory of the two dimensional special linear group over an algebraically closed field, J. London Math. Soc., 16, 237-252 (1977) · Zbl 0374.20053

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.