DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3: THE p ≥ 5 CASE

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

doi:https://doi.org/10.24330/ieja.266215

Article Details

DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3: THE p ≥ 5 CASE

Authors:

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

Publisher:

Abdullah HARMANCI

Journal:

International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.105-138

Document Type:

Article

Publication Date:

5/2015

Document Language:

Turkish

Document ID (Org No.):

2000718158

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266215

Abstract:

 

We study the structure of the indecomposable direct summands of tensor products
 of two restricted rational simple modules for the algebraic group SL3(K), where K is an
 algebraically closed field of characteristic p ≥ 5. We also give a characteristic-free algorithm
 for the decomposition of such a tensor product into indecomposable direct summands. The
 p < 5 case was studied in the authors’ earlier paper [4]. We find that for characteristics p ≥ 5
 all the indecomposable summands are rigid, in contrast to the characteristic 3 case.

Article Details

DECOMPOSITION OF TENSOR PRODUCTS OF MODULAR IRREDUCIBLE REPRESENTATIONS FOR SL3: THE p ≥ 5 CASE

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

Publisher: Abdullah HARMANCI

Journal: International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.105-138

Document Type: Article

Publication Date: 5/2015

Document Language: Turkish

Document ID (Org No.): 2000718158

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266215

Issues

Authors:

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

Publisher:

Abdullah HARMANCI

Journal:

International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.105-138

Document Type:

Article

Publication Date:

5/2015

Document Language:

Turkish

Document ID (Org No.):

2000718158

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266215