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180908s2018 riu o 000 0 eng d |
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|a (OCoLC)1051140665
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|b .R477 2018
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|a 512.482
|2 23
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|a UAMI
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|a Jing, Naihuan.
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|a Representations of Lie Algebras, Quantum Groups and Related Topics.
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|a Providence :
|b American Mathematical Society,
|c 2018.
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|a 1 online resource (242 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
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|a Contemporary Mathematics Ser. ;
|v v. 713
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|a Print version record.
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|6 880-01
|a Cover; Title page; Contents; Preface; The two bosonizations of the CKP hierarchy: Overview and character identities; 1. Introduction; 2. The CKP hierarchy and its two bosonizations: overview; 3. Graded dimensions and character identities; 4. Appendix; References; Inhomogeneous supersymmetric bilinear forms; 1. Introduction; 2. Invariants; 3. Classification up to dimension 7; 4. Oscillator Lie superalgebras; Acknowledgments; References; Imaginary crystal bases for _{ }(̂ (2))-modules in category ^{ }_{ /!, }; 1. Introduction; 2. Quantum affine algebra _{ }(̂ (2)).
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|a Gelfand-Tsetlin modules of (3) in the principal block1. Introduction; 2. Gelfand-Tsetlin modules for (); 3. Gelfand-Tsetlin modules with tableaux realization for (); 4. Irreducible Gelfand-Tsetlin modules in the principal block; 5. ₂₁-localization of Gelfand-Tsetlin modules in the principal block; Acknowledgments; References; Fusion rings revisited; 1. Kac-Moody algebras of affine types; 2. Fusion rings associated to Kac-Moody algebras of affine types; 3. Twining formula and Verlinde formula; 4. Proofs; 5. Modular S-matrix; Acknowledgments; References.
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|a Kostant-Lusztig -bases of multiparameter quantum groups1. Introduction; 2. Generalized quantum groups; 3. Kostant-Lusztig \bA-form; Acknowledgments; References; Catalan triangle numbers and binomial coefficients; 1. Introduction; 2. Catalan expansion of binomial coefficients; 3. Alternating Jacobsthal triangle; 4.-deformation; 5.-analogue of -deformation; Acknowledgments; References; Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties; 1. Introduction; 2. Notation and preliminaries; 3. Hecke algebras and walk algebras.
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|a 4. Change of basis formula5. Counting points in Kac-Moody flag varieties; 6. Some connections to other work; Acknowledgments; References; Critical points of master functions and mKdV hierarchy of type ⁽²⁾_{2 }; 1. Introduction; 2. Kac-Moody algebra of type _{2 }⁽¹⁾; 3. Kac-Moody algebra of type _{2 }⁽²⁾; 4. mKdV equations; 5. Tangent maps to Miura maps; 6. Critical points of master functions and generation of tuples of polynomials; 7. Critical points of master functions and Miura opers; 8. Vector fields; Acknowledgments; References; Back Cover.
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|a This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12-13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, representations of quantum groups, and related topics.
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Representations of Lie algebras
|v Congresses.
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|a Algebra
|v Congresses.
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|a Représentations des algèbres de Lie
|v Congrès.
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650 |
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|a Algèbre
|v Congrès.
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650 |
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7 |
|a Algebra
|2 fast
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650 |
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|a Representations of Lie algebras
|2 fast
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655 |
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|a Conference papers and proceedings
|2 fast
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700 |
1 |
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|a Misra, Kailash C.
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776 |
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|i Print version:
|a Jing, Naihuan.
|t Representations of Lie Algebras, Quantum Groups and Related Topics.
|d Providence : American Mathematical Society, ©2018
|z 9781470436964
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830 |
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0 |
|a Contemporary Mathematics Ser.
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856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5501882
|z Texto completo
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880 |
8 |
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|6 505-01/(S
|a 3. Ω-operators and the Kashiwara algebra _{ }4. Quantized imaginary Verma modules and category ^{ }_{ ℯ, }; 5. Imaginary crystal lattice and imaginary crystal basis; References; On the module structure of the center of hyperelliptic Krichever-Novikov algebras; Classification of 5-dimensional complex nilpotent Leibniz algebras; 1. Introduction; 2. Classification of nilpotent Leibniz algebras with dim(²)=3 and dim(())=1; 3. Classification of 5-dimensional complex nilpotent Leibniz algebras; Acknowledgments; References.
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|a ProQuest Ebook Central
|b EBLB
|n EBL5501882
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994 |
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|a 92
|b IZTAP
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