Core Participants
Under the Inquiries Rules people and organisations can be designated as core participants in an Inquiry.
More information about core participant status, legal representation for core participants and the funding of that representation is in the information sheet 
here (PDF, 72Kb).
In this Inquiry the Chairman designated the following as core participants: the Lord Advocate, for the Crown Office & Procurator Fiscal Service; The Chief Constable, Strathclyde Police; Scottish Police Services Authority; David Asbury; Alan Dunbar; Terence Foley; Alister Geddes; David Halliday; Fiona McBride; Anthony McKenna; Robert Mackenzie; Iain McKie; Shirley McKie; Hugh MacPherson; Malcolm Ross; Charles Stewart; Peter Swann; and Pat Wertheim. Most of them are legally represented, in some instances more than one shares a legal representative, and some are publicly funded. More information is available here.
The recognised legal representative for two of the core participants, Mr Swann and Mr Ross, who also represented two of the witnesses, Mr Berry and Mr Leadbetter, was critical of the Inquiry. His correspondence with the Inquiry containing criticism of it and the Inquiry's replies are listed:
List of Correspondence with Mr Russell 2008-2009 (PDF, 37Kb)
List of Correspondence with Mr Russell 2011 (PDF, 60Kb)