Geodesic
Reverse decomposition of unipotents in polyvector representations
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 120-138

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The present paper continues the series of papers devoted to the method of decomposition of unipotents and its numerous variations. For exterior square of the general linear group, which is a key particular case of exterior powers, the question of the reverse decomposition of unipotents was considered by the author (2021). A generalization of the obtained results to an arbitrary exterior power is discussed. 
@article{ZNSL_2022_513_a8,
     author = {R. Lubkov},
     title = {Reverse decomposition of unipotents in polyvector representations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {120--138},
     publisher = {mathdoc},
     volume = {513},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a8/}
}
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R. Lubkov. Reverse decomposition of unipotents in polyvector representations. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 120-138. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a8/