Modular W and H Type Lie Algebras

The modular Witt algebra W(p, n) and H(p, 2n) are defined on the polynomial rings Z _p [x₁,...,x _n ] and Z _p [X₁,...,x _n , y₁,...,y_n] respectively. We generalize Z_p[x₁,...,xn] and Zp[x₁,...,xn, y₁,...,y_n], so we get the generalized W-type and H-type modular Lie algebras. We find all the derivations of W(p, 1).

Authors and Affiliations

1. Department of Mathematics and Computer Science, University of Wisconsin-Whitewater, Whitewater, WI, 53190

   Ki-Bong Nam

Corresponding author

Correspondence to Ki-Bong Nam.

AMS Subject Classification: Primary 17B40, 17B56.