Recent advances in representation theory, quantum groups, algebraic geometry, and related topics : AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana /
Pramod N. Achar, Dijana Jakelic, Kailash C. Misra, Milen Yakimov, editors.
- 280 p.: ill
- Contemporary mathematics ; volume 623 .
HKBU library
YT2025 M10
9780821898529 0821898523
Representations of groups Quantum groups Geometry, Algebraic Mathematical physics Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds. Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications. Nonassociative rings and algebras -- General nonassociative rings -- Leibniz algebras. Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights). Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations. Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras. Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Vertex operators; vertex operator algebras and related structures. Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory. Group theory and generalizations -- Linear algebraic groups and related topics -- Schur and $q$-Schur algebras. Quantum theory -- Groups and algebras in quantum theory -- Quantum groups and related algebraic methods.