2 papers
math.QA2001
Full chains of twists for symplectic algebras
David Ananikian, Petr Kulish, Vladimir Lyakhovsky
The problem of constructing the explicit form for full twist deformations of simple Lie algebras g with twist carriers containing the maximal nilpotent subalgebra N^+(g) is studied…
math.QA1999
Duality and Boundary Yangians
V. D. Lyakhovsky, D. N. Ananikian
The existence of dual structures in a Yangian Y(g) signify that the latter belongs to multidimensional naturally parametrized variety of Hopf algebras. These varieties have boundar…