Title 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 Jakelić, Kailash C. Misra, Milen Yakimov, editors

Published Providence, Rhode Island : American Mathematical Society, [2014] ©2014

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Description 1 online resource (xi, 280 pages) : illustrations Series Contemporary mathematics ; 623 Contemporary mathematics (American Mathematical Society) ; v. 623. Contents A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ̂{(1)}$ / Dražen Adamović -- http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/'>http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12454 A note on $U_q(D_4̂{(3)})$-Demazure crystals / Alyssa M. Armstrong and Kailash C. Misra -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12455 Dimensions of imaginary root spaces of hyperbolic Kac-Moody algebras / Lisa Carbone, Walter Freyn and Kyu-Hwan Lee -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12465 On some structures of Leibniz algebras / Ismail Demir, Kailash C. Misra and Ernie Stitzinger -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12456 A geometric construction of generalized $q$-Schur algebras / Stephen Doty and Yiqiang Li -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12453 On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak {sl}(3)$ / Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12443 Supersymmetry and the modular double / Ivan Chi-Ho Ip and Anton M. Zeitlin -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12459 On Weyl modules for quantum and hyper loop algebras / Dijana Jakelić and Adriano Moura -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12464 Toroidal Lie superalgebras and free field representations / Naihuan Jing and Chongbin Xu -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12445 Invariants of $( -1)$-skew polynomial rings under permutation representations / E. Kirkman, J. Kuzmanovich and J. J. Zhang -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12463 On total Frobenius-Schur indicators / Gongxiang Liu and Siu-Hung Ng -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12462 Loop Grassmannians in the framework of local spaces over a curve / Ivan Mirković -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12444 Decorated geometric crystals and polyhedral realizations of type $D_n$ / Toshiki Nakashima -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12466 Some Koszul properties of standard and irreducible modules / Brian J. Parshall and Leonard L. Scott -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12457 On higher order Leibniz identities in TCFT / Anton M. Zeitlin -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12458 Bibliography Includes bibliographical references Notes Print version record Subject Representations of groups -- Congresses Quantum groups -- Congresses Geometry, Algebraic -- Congresses Mathematical physics -- Congresses Geometry, Algebraic Mathematical physics Quantum groups Representations of groups 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. Genre/Form Conference papers and proceedings Form Electronic book Author Achar, Pramod N., 1976- editor. Jakelic, Dijana, 1968- editor, author. Misra, Kailash C., 1954- editor, author. Yakimov, Milen, 1973- editor. ISBN 9781470419295 1470419297

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