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 / [electronic resource]
Pramod N. Achar, Dijana Jakelic, Kailash C. Misra, Milen Yakimov, editors.
- Providence, Rhode Island : American Mathematical Society, [2014]
- 1 online resource (pages cm.)
- Contemporary mathematics, v. 623 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^$ / A note on $U_q(D_4^)$-Demazure crystals / Dimensions of imaginary root spaces of hyperbolic Kac-Moody algebras / On some structures of Leibniz algebras / A geometric construction of generalized $q$-Schur algebras / On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak (3)$ / Supersymmetry and the modular double / On Weyl modules for quantum and hyper loop algebras / Toroidal Lie superalgebras and free field representations / Invariants of $(-1)$-skew polynomial rings under permutation representations / On total Frobenius-Schur indicators / Loop Grassmannians in the framework of local spaces over a curve / Decorated geometric crystals and polyhedral realizations of type $D_n$ / Some Koszul properties of standard and irreducible modules / On higher order Leibniz identities in TCFT / Dra�zen Adamovi�c -- Alyssa M. Armstrong and Kailash C. Misra -- Lisa Carbone, Walter Freyn and Kyu-Hwan Lee -- Ismail Demir, Kailash C. Misra and Ernie Stitzinger -- Stephen Doty and Yiqiang Li -- Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez -- Ivan Chi-Ho Ip and Anton M. Zeitlin -- Dijana Jakeli�c and Adriano Moura -- Naihuan Jing and Chongbin Xu -- E. Kirkman, J. Kuzmanovich and J. J. Zhang -- Gongxiang Liu and Siu-Hung Ng -- Ivan Mirkovi�c -- Toshiki Nakashima -- Brian J. Parshall and Leonard L. Scott -- Anton M. Zeitlin -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12454 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12455 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12465 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12456 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12453 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12443 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12459 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12464 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12445 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12463 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12462 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12444 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12466 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12457 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12458
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014
Mode of access : World Wide Web
9781470419295 (online)
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 methods.
QA176 / .R43 2014
512/.22
Includes bibliographical references.
A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^$ / A note on $U_q(D_4^)$-Demazure crystals / Dimensions of imaginary root spaces of hyperbolic Kac-Moody algebras / On some structures of Leibniz algebras / A geometric construction of generalized $q$-Schur algebras / On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak (3)$ / Supersymmetry and the modular double / On Weyl modules for quantum and hyper loop algebras / Toroidal Lie superalgebras and free field representations / Invariants of $(-1)$-skew polynomial rings under permutation representations / On total Frobenius-Schur indicators / Loop Grassmannians in the framework of local spaces over a curve / Decorated geometric crystals and polyhedral realizations of type $D_n$ / Some Koszul properties of standard and irreducible modules / On higher order Leibniz identities in TCFT / Dra�zen Adamovi�c -- Alyssa M. Armstrong and Kailash C. Misra -- Lisa Carbone, Walter Freyn and Kyu-Hwan Lee -- Ismail Demir, Kailash C. Misra and Ernie Stitzinger -- Stephen Doty and Yiqiang Li -- Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez -- Ivan Chi-Ho Ip and Anton M. Zeitlin -- Dijana Jakeli�c and Adriano Moura -- Naihuan Jing and Chongbin Xu -- E. Kirkman, J. Kuzmanovich and J. J. Zhang -- Gongxiang Liu and Siu-Hung Ng -- Ivan Mirkovi�c -- Toshiki Nakashima -- Brian J. Parshall and Leonard L. Scott -- Anton M. Zeitlin -- http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12454 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12455 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12465 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12456 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12453 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12443 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12459 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12464 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12445 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12463 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12462 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12444 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12466 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12457 http://www.ams.org/conm/623/ http://dx.doi.org/10.1090/conm/623/12458
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014
Mode of access : World Wide Web
9781470419295 (online)
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 methods.
QA176 / .R43 2014
512/.22