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Modular W and H Type Lie Algebras
Authors:Ki-Bong?Nam  mailto:namk@uwwvax.uww.edu"   title="  namk@uwwvax.uww.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics and Computer Science, University of Wisconsin-Whitewater, Whitewater, WI, 53190
Abstract:
The modular Witt algebra W(p, n) and H(p, 2n) are defined on the polynomial rings Zp[x1,...,xn] and Zp[X1,...,xn, y1,...,yn] respectively. We generalize Zp[x1,...,xn] and Zp[x1,...,xn, y1,...,yn], so we get the generalized W-type and H-type modular Lie algebras. We find all the derivations of W(p, 1).AMS Subject Classification: Primary 17B40, 17B56.
Keywords:Witt algebra  Hamiltonian algebra  Poisson Bracket  modular simple Lie algebra  Lie derivation  self-centralized
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