hatered between duke senior and duke fredrick ,in as you like it?

It is more appropriate to reword the question as Duke
Frederick's hatred towards his elder brother Duke Senior, because throughout the play it
is Duke Frederick who acts with hatred towards his brother and we find no instance of
Duke Senior retaliating in the same spirit.  To begin with Duke Frederick usurps the
position of Duke Senior and banishes him into exile.  When many a lords express their
solidarity towards the latter, the former wastes no time in confiscating their
properties  and send them on exile.  Later on he also banishes the innocent and gentle
Rosalind, the only daughter of Duke Senior by charging her of treason and even threatens
to get her killed if she does not leave his court within the time limit of ten days.
When Rosalind questions the reason for her banishment, Duke Frederick declares, 'Thou
art thy father's daughter; there,s enough.'  These instances clearly indicate Duke
Frederick's hatred towards his brother Duke Senior.