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DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL)

Yıl 2011, Cilt: 9 Sayı: 9, 177 - 219, 01.06.2011

Öz

We give an algorithm for working out the indecomposable direct
summands in a Krull–Schmidt decomposition of a tensor product of two simple
modules for G = SL3 in characteristics 2 and 3. It is shown that there is a
finite family of modules such that every such indecomposable summand is
expressible as a twisted tensor product of members of that family.
Along the way we obtain the submodule structure of various Weyl and
tilting modules. Some of the tilting modules that turn up in characteristic
3 are not rigid; these seem to provide the first example of non-rigid tilting
modules for algebraic groups. These non-rigid tilting modules lead to examples
of non-rigid projective indecomposable modules for Schur algebras, as shown
in the Appendix.
Higher characteristics (for SL3) will be considered in a later paper.

Yıl 2011, Cilt: 9 Sayı: 9, 177 - 219, 01.06.2011

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA36VB37HC
Bölüm Makaleler
Yazarlar

C. Bowman Bu kişi benim

S. R. Doty Bu kişi benim

S. Martin Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 9 Sayı: 9

Kaynak Göster

APA Bowman, C., Doty, S. R., & Martin, S. (2011). DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL). International Electronic Journal of Algebra, 9(9), 177-219.
AMA Bowman C, Doty SR, Martin S. DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL). IEJA. Haziran 2011;9(9):177-219.
Chicago Bowman, C., S. R. Doty, ve S. Martin. “DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL)”. International Electronic Journal of Algebra 9, sy. 9 (Haziran 2011): 177-219.
EndNote Bowman C, Doty SR, Martin S (01 Haziran 2011) DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL). International Electronic Journal of Algebra 9 9 177–219.
IEEE C. Bowman, S. R. Doty, ve S. Martin, “DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL)”, IEJA, c. 9, sy. 9, ss. 177–219, 2011.
ISNAD Bowman, C. vd. “DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL)”. International Electronic Journal of Algebra 9/9 (Haziran 2011), 177-219.
JAMA Bowman C, Doty SR, Martin S. DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL). IEJA. 2011;9:177–219.
MLA Bowman, C. vd. “DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL)”. International Electronic Journal of Algebra, c. 9, sy. 9, 2011, ss. 177-19.
Vancouver Bowman C, Doty SR, Martin S. DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3 (WITH AN APPENDIX BY C.M. RINGEL). IEJA. 2011;9(9):177-219.