  We introduce a new basis for the polynomial ring which lifts the complete
homogeneous symmetric polynomials while retaining representation theoretic
significance. Using a specialized RSK algorithm we give an explicit nonnegative
expansion into key polynomials and, generalizing the special rim hook tabloids
of E\u{g}ecio\u{g}lu and Remmel, give an explicit signed expansion for key
polynomials into this new basis.
