Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Recent advances in representation theory, quantum groups, algebraic geometry, and related topics / [edited by] Pramod N. Achar...[et al.].

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 623Publication details: Providence : American Mathematical Society, c2014.Description: xi, 280 p. : illustrations ; 26 cmISBN:
  • 9780821898529 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
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.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.

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.

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in