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math.RT2008★ 14 cited
Pairs of mutually annihilating operators
Vitalij M. Bondarenko, Tatiana G. Gerasimova, Vladimir V. Sergeichuk
Pairs (A,B) of mutually annihilating operators AB=BA=0 on a finite dimensional vector space over an algebraically closed field were classified by Gelfand and Ponomarev [Russian Mat…
math.RT2007★ 15 cited
The problems of classifying pairs of forms and local algebras with zero cube radical are wild
Genrich Belitskii, Vitalij M. Bondarenko, Ruvim Lipyanski +2
We prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is Hermitian, pairs of biline…