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

C. Bowman; S. R. Doty; S. Martin

Makale detayları

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

Yazarlar:

C. Bowman | S. R. Doty | S. Martin

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.177-219

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718347

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

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.

Makale detayları

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

Yazarlar: C. Bowman | S. R. Doty | S. Martin

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.177-219

Belge Tipi: Makale

Yayın Tarihi: 5/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000718347

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

C. Bowman | S. R. Doty | S. Martin

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2011 Vol.9 Issue 9, pp.177-219

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000718347

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048