Geodesic
Indecomposable Representations of the Superalgebra $B(1,2)$
Algebra i logika, Tome 41 (2002) no. 3, pp. 371-382

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Finite-dimensional indecomposable superbimodules over the superalgebra $B(1,2)$ are treated. We propound a method for constructing indecomposable alternative superbimodules over $B(1,2)$ containing a given socle (such can be presented by any irreducible module over $B(1,2)$). The method is based on adding on the Jordan basis. Also, for the characteristic 3 case, we give examples of Jordan indecomposable superbimodules which are not alternative.
Mots-clés : indecomposable superbimodule
Keywords: Jordan superbimodule, alternative superbimodule. 
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     author = {M. N. Trushina},
     title = {Indecomposable {Representations} of the {Superalgebra} $B(1,2)$},
     journal = {Algebra i logika},
     pages = {371--382},
     publisher = {mathdoc},
     volume = {41},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2002_41_3_a5/}
}
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M. N. Trushina. Indecomposable Representations of the Superalgebra $B(1,2)$. Algebra i logika, Tome 41 (2002) no. 3, pp. 371-382. http://geodesic.mathdoc.fr/item/AL_2002_41_3_a5/