3 papers
math.RT2016
B-orbits in abelian nilradicals of types B, C and D: towards a conjecture of Panyushev
Nurit Barnea, Anna Melnikov
Let be a Borel subgroup of a semisimple algebraic group and let be an abelian nilradical in . Using subsets of strongly orthogonal…
math.RT2015
B-orbits of square zero in nilradical of the symplectic algebra
Nurit Barnea, Anna Melnikov
Let be the symplectic group and its Lie algebra. Let be a Borel subgroup of , an…
math.RA2007
A separable deformation of the quaternion group algebra
Nurit Barnea, Yuval Ginosar
The Donald-Flanigan conjecture asserts that for any finite group and for any field, the corresponding group algebra can be deformed to a separable algebra. The minimal unsolved ins…