In the following paper we investigate commutator-type matrix equations and discuss the existence of their solutions. In particular, we derive the solutions of the Engel equations $A=e_k(X,Y)$, where $e_k(x,y)$ denotes the $k$-th Engel word, in the groups of unitriangular and triangular matrices over field $K$ of arbitrary characteristic.
Baza Wiedzy PŚ ; oai:delibra.bg.polsl.pl:31969
Linear Algebra and Its Applications 2013 vol. 438 iss. 5, s. 2320-2330
Wydział Matematyki Stosowanej. Politechnika Śląska
16 paź 2020
23 lis 2015
412
https://delibra.bg.polsl.pl/publication/35897
Nazwa wydania | Data |
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On Solvability of Engel Equations In the Group of Triangular Matrices Over a Field | 16 paź 2020 |
Bier, Agnieszka
Bier, Agnieszka
Bier, Agnieszka Hołubowski, Waldemar
Bier, Agnieszka Sushchanskyy, Vitaliy
Bier, Agnieszka Sushchanskyy, Vitaliy