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Recent advances in representation theory, quantum groups, algebraic geometry, and related topics : [electronic resource] 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.

Contributor(s): Achar, Pramod N, 1976- [editor of compilation.] | Jakelic, Dijana, 1968- [editor of compilation.] | Misra, Kailash C, 1954- [editor of compilation.] | Yakimov, Milen, 1973- [editor of compilation.]Material type: Text

TextSeries: Contemporary mathematics ; v. 623Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Description: 1 online resource (pages cm.)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470419295 (online)Subject(s): Representations of groups -- Congresses | Quantum groups -- Congresses | Geometry, Algebraic -- Congresses | Mathematical physics -- Congresses | 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 methodsAdditional physical formats: Recent advances in representation theory, quantum groups, algebraic geometry, and related topics :DDC classification: 512/.22 LOC classification: QA176 | .R43 2014Other classification: 14M15 | 16T05 | 17A32 | 17B10 | 17B37 | 17B67 | 17B69 | 20G05 | 20G43 | 81R50 Online resources: Contents | Contents

Contents:

A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$ / Dra�zen Adamovi�c -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12454 A note on $U_q(D_4^{(3)})$-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 Jakeli�c 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 Mirkovi�c -- 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

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Includes bibliographical references.

A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$ / Dra�zen Adamovi�c -- 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 Jakeli�c 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 Mirkovi�c -- 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 --