Conn. Gen. Stat. § 7-151a

(b) Notwithstanding the provisions of section 7-330 , such authority shall be composed of at least three delegates from each member town whose term of office and method of selection shall be determined by the towns establishing the authority provided each member town may appoint up to four delegates to the authority. Each town shall pay to the authority its respective share of the expenses of the commission prorated on the basis of its linear footage of shore line or any other formula agreed on and adopted by a majority of the legislative bodies of all member towns. Any member town may, by ordinance, withdraw from such authority, effective upon the mailing of written notice of such withdrawal to the authority. Each withdrawing town shall be liable for its share of expenses incurred prior to the effective date of such notice. Upon the withdrawal of any town or towns, the authority shall remain in force insofar as the remaining town or towns are concerned, but the jurisdiction of the authority shall be reduced to that portion of said body of state water lying within the boundaries of such remaining town or towns. In the event of such a withdrawal, the portion of such body of state water lying within the town or towns withdrawing from the authority shall revert to the status existing prior to the adoption of the authority.

(c) In addition to the power granted in subsection (a) of this section, a lake authority may be granted by the legislative bodies of its respective towns powers to: (1) Control and abate algae and aquatic weeds in cooperation with the Commissioner of Energy and Environmental Protection; (2) study water management including, but not limited to, water depth and circulation and make recommendations for action to its member towns; (3) act as agent for member towns with respect to filing applications for grants and reimbursements with the Department of Energy and Environmental Protection and other state agencies in connection with state and federal programs; and (4) act as agent for member towns with respect to receiving gifts for any of its purposes.

(d) A lake authority shall have no jurisdiction in any matters subject to regulation by the Commissioner of Energy and Environmental Protection.

(e) Each member town of any lake authority shall protect and save harmless such town's delegates to such lake authority from financial loss and expense, including legal fees and costs, if any, arising out of any claim, demand, suit or judgment by reason of alleged negligence on the part of such delegate while acting in the discharge of his duties as such delegate. Each such member town may insure against the liability imposed by this subsection in any insurance company organized in this state or in any insurance company of another state authorized to write such insurance in this state or may elect to act as self-insurer of such liability.