The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is ...The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is a Hopf algebra which is neither commutative nor cocommutative.展开更多
In this note,two Lax representations are presented for the Liouville equation.From each representation one may deduce an infinite family of conserved quantities in involution.However,members coming from different fami...In this note,two Lax representations are presented for the Liouville equation.From each representation one may deduce an infinite family of conserved quantities in involution.However,members coming from different families are not in involution to each other.展开更多
文摘The Hopf algebraic structure,i.e.,comultiplication,coinverse and counit,is presented for a two-parameter deformed boson oscillator algebra.This result shows that the two-parameter deformed boson oscillator algebra is a Hopf algebra which is neither commutative nor cocommutative.
文摘In this note,two Lax representations are presented for the Liouville equation.From each representation one may deduce an infinite family of conserved quantities in involution.However,members coming from different families are not in involution to each other.
