Tetrahedron Equations and Nilpotent Subalgebras of Uq(sln)

Sergeev, Sergey2015-12-070377-9017http://hdl.handle.net/1885/28310A relation between q-oscillator R-matrix of the tetrahedron equation and decompositions of Poinkaré-Birkhoff-Witt type bases for nilpotent subalgebras Uq (n+) ⊂ Uq(sln) is observed.Keywords: Nilpotetnt subalgebras; Poinkaré-Birkhoff-Witt type bases; Tetrahedron equationTetrahedron Equations and Nilpotent Subalgebras of Uq(sln)200810.1007/s11005-008-0219-x2015-12-07