Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
16.07.1974
E-mail: ,
Keywords: alternative superalgebras; Jordan superalgebras; representations of superalgebras.
Subject:
The classification of finite-dimensional irreducible alternative superbimodules over the simple superalgebra B(1,2) was obtained in case of an algebraically closed field. The finite-dimensional irreducible Jordan representations of the superalgebra B(1,2) were described in case of an algebraically closed field of positive characteristic distinct from 2, and in case of characteristic 0. A way of construction of alternative indecomposable representations of the superalgebra B(1,2) was described. Examples of indecomposable Jordan representations of the superalgebra B(1,2) were constructed.
Main publications:
Trushina M. N. Neprivodimye iordanovy superbimoduli nad prostoi superalgebroi V(1,2) // Matem. sbornik, 2000, 190(9), 123–138.
Trushina M. N. Neprivodimye alternativnye superbimoduli nad prostoi alternativnoi superalgebroi V(1,2) // Fundam. i prikladnaya matem., 2001, 7(3), 897–908.
Trushina M. N. Predstavleniya prostoi superalgebry V(1,2) // Sovrem. temat. obzory, Algebra, 22, 89, VINITI, 2001.
Trushina M. N. Nerazlozhimye predstavleniya superalgebry V(1,2) // Algebra i logika, 2002.
