This volume collects 15 papers delivered at the October 2012 meeting during two special sessions on geometric and algebraic aspects of representation theory and quantum group links with noncommutative algebraic geometry. The contributors discuss known results and methods for determining root multiplicities for hyperbolic Kac-Moody algebras, results in Leibniz algebras which are analogs of corresponding results in Lie algebras, Weyl modules for quantum and hyper loop algebras, and Koszul properties of standard and irreducible modules. Other topics include supersymmetry and the modular double, toroidal Lie superalgebras and free field representations, total Frobenius-Schur indicators, and loop Grassmannians in the framework of local spaces over a curve. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)
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