TY - BOOK AU - Achar,Pramod N. AU - Jakelic,Dijana AU - Misra,Kailash C. AU - Yakimov,Milen ED - AMS Special Sessions on Geometric and Algebraic Aspects of Representation Theory and Quantum Groups, and Noncommutative Algebraic Geometry TI - Recent advances in representation theory, quantum groups, algebraic geometry, and related topics T2 - Contemporary mathematics SN - 9780821898529 (alk. paper) U1 - 510 23 PY - 2014/// CY - Providence : PB - American Mathematical Society KW - Representations of groups KW - Congresses KW - Quantum groups KW - Geometry, Algebraic KW - Mathematical physics N1 - Includes bibliographical references; A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$ / Dražen Adamovic -- A note on $U_q(D_4^{(3)})$-Demazure crystals / Alyssa M. Armstrong and Kailash C. Misra -- Dimensions of imaginary root spaces of hyperbolic Kac-Moody algebras / Lisa Carbone, Walter Freyn and Kyu-Hwan Lee -- On some structures of Leibniz algebras / Ismail Demir, Kailash C. Misra and Ernie Stitzinger -- A geometric construction of generalized $q$-Schur algebras / Stephen Doty and Yiqiang Li -- On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak {sl}(3)$ / Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez -- Supersymmetry and the modular double / Ivan Chi-Ho Ip and Anton M. Zeitlin -- On Weyl modules for quantum and hyper loop algebras / Dijana Jakelić and Adriano Moura -- Toroidal Lie superalgebras and free field representations / Naihuan Jing and Chongbin Xu -- Invariants of $(-1)$-skew polynomial rings under permutation representations / E. Kirkman, J. Kuzmanovich and J. J. Zhang -- On total Frobenius-Schur indicators / Gongxiang Liu and Siu-Hung Ng -- Loop Grassmannians in the framework of local spaces over a curve / Ivan Mirković -- Decorated geometric crystals and polyhedral realizations of type $D_n$ / Toshiki Nakashima -- Some Koszul properties of standard and irreducible modules / Brian J. Parshall and Leonard L. Scott -- On higher order Leibniz identities in TCFT / Anton M. Zeitlin N2 - This volume contains the proceedings of two AMS Special Sessions 'Geometric and Algebraic Aspects of Representation Theory' and 'Quantum Groups and Noncommutative Algebraic Geometry' held October 13-14, 2012, at Tulane University, New Orleans, Louisiana, USA. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac-Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics ER -