Young raising operators and Q-functions

A number of properties of Young raising operators as applied to S-functions and Schur Q-functions are noted. The order of evaluating the action of inverse raising operators is found to require careful specification and the maximum power of the operators bij is determined. The operation of the inverse raising operator on a partition .A is found to be the same as for its conjugate t A new definition of the Shifted Lattice Property that can efficiently remove all the dead tableaux in the analogue of the Littlewood-Richardson rule for Q-functions is introduced. A simple combinatorial analogue of raising and inverse raising operators is given that in turn simplifies the computation of the Kronecker products of Schur Q-functions.