Central extensions of current algebras

Paul Zusmanovich
1992 Transactions of the American Mathematical Society  
The second cohomology group of Lie algebras of kind L®U with trivial coefficients is investigated, where L admits a decomposition with onedimensional root spaces and U is an arbitrary associative commutative algebra with unit. This paper gives a unification of some recent results of C. Kassel and A. Haddi and provides a determination of central extensions of certain modular semisimple Lie algebras.
doi:10.1090/s0002-9947-1992-1069751-2 fatcat:xn57iakhczhoza63oyqiyd6dqe