Kevin - unlikely as it's probate that in effect makes you the personal rep. To prove that you are the personal rep you would therefore need probate. Personal reps is the collective term for executors and administrators: the person(s) to whom a grant of representation has been made by the Probate Registry following the death of a proprietor
I should stress though that how the lease is legally determined and what the recipient receives etc is not within our remit
Any application to cancel a noted lease would be made using
form CN1 plus supporting evidence as appropriate.
See
Leases: determination (PG26) - GOV.UK (www.gov.uk) also