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math.RT1998
The generalized Witt algebras using additive maps
Ki-Bong Nam, Moon Ok Wang
Wawamoto generalized the Witt algebra using Laurent extension of polynomial ring. We construct the generalized Witt algebra by using an additive map from a set of…
math.RT1997
Generalized W-type and H-type algebras
Ki-Bong Nam
It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra. We show that the Poisson Lie algebra can be embedded properly in the special type Lie al…
math.RT1997
Simple Lie algebras which generalize Witt algebras
Ki-Bong Nam
We introduce a new class of simple Lie algebras that generalize the Witt algebra by using "exponential" functions, and also a subalgebra thereof; and we show ea…