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Representations Of Shifted Yangians And Finite W Algebras

Representations of Shifted Yangians and Finite  W  algebras PDF
Author: Alexander Kleshchev, Jonathan Brundan
Publisher: American Mathematical Soc.
ISBN: 9780821866597
Size: 45.69 MB
Format: PDF, ePub
Category :
Languages : en
Pages :
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Representations Of Shifted Yangians And Finite W Algebras

by Alexander Kleshchev, Jonathan Brundan, Representations Of Shifted Yangians And Finite W Algebras Books available in PDF, EPUB, Mobi Format. Download Representations Of Shifted Yangians And Finite W Algebras books, The authors study highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. In particular, they classify the finite dimensional irreducible representations and explain how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite W-algebras associated to nilpotent orbits in general linear Lie algebras.




Representations Of Shifted Yangians And Finite W Algebras

Representations of Shifted Yangians and Finite  W  algebras PDF
Author: Jonathan Brundan
Publisher: American Mathematical Soc.
ISBN: 0821842161
Size: 15.61 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 107
View: 1379

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Representations Of Shifted Yangians And Finite W Algebras

by Jonathan Brundan, Representations Of Shifted Yangians And Finite W Algebras Books available in PDF, EPUB, Mobi Format. Download Representations Of Shifted Yangians And Finite W Algebras books, The authors study highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. In particular, they classify the finite dimensional irreducible representations and explain how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite W-algebras associated to nilpotent orbits in general linear Lie algebras.




Representations Of Shifted Yangians And Finite W Algebras

Representations of Shifted Yangians and Finite  W  algebras PDF
Author: Jonathan Brundan
Publisher: American Mathematical Soc.
ISBN: 0821842161
Size: 13.29 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 107
View: 5598

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Representations Of Shifted Yangians And Finite W Algebras

by Jonathan Brundan, Representations Of Shifted Yangians And Finite W Algebras Books available in PDF, EPUB, Mobi Format. Download Representations Of Shifted Yangians And Finite W Algebras books, The authors study highest weight representations of shifted Yangians over an algebraically closed field of characteristic $0$. In particular, they classify the finite dimensional irreducible representations and explain how to compute their Gelfand-Tsetlin characters in terms of known characters of standard modules and certain Kazhdan-Lusztig polynomials. The authors' approach exploits the relationship between shifted Yangians and the finite W-algebras associated to nilpotent orbits in general linear Lie algebras.




Yangians And Classical Lie Algebras

Yangians and Classical Lie Algebras PDF
Author: Alexander Molev
Publisher: American Mathematical Soc.
ISBN: 0821843745
Size: 72.14 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 400
View: 1620

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Yangians And Classical Lie Algebras

by Alexander Molev, Yangians And Classical Lie Algebras Books available in PDF, EPUB, Mobi Format. Download Yangians And Classical Lie Algebras books, This book offers a detailed survey of the theory of Yangians and twisted Yangians, which are remarkable associative algebras originating from the work of St. Petersburg's school of mathematical physics. Emphasis is placed on the relationship with the classical matrix Lie algebras. The book includes the best possible proofs of all results.




Representations And Nilpotent Orbits Of Lie Algebraic Systems

Representations and Nilpotent Orbits of Lie Algebraic Systems PDF
Author: Maria Gorelik
Publisher: Springer Nature
ISBN: 3030235319
Size: 72.89 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 553
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Representations And Nilpotent Orbits Of Lie Algebraic Systems

by Maria Gorelik, Representations And Nilpotent Orbits Of Lie Algebraic Systems Books available in PDF, EPUB, Mobi Format. Download Representations And Nilpotent Orbits Of Lie Algebraic Systems books, This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa. The chapters in this volume cover a range of topics, including: Primitive ideals Invariant theory Geometry of Lie group actions Quantum affine algebras Yangians Categorification Vertex algebras This volume is addressed to mathematicians who specialize in representation theory and Lie theory, and who wish to learn more about this fascinating subject.




String Math 2016

String Math 2016 PDF
Author: Amir-Kian Kashani-Poor
Publisher: American Mathematical Soc.
ISBN: 1470435152
Size: 45.40 MB
Format: PDF, ePub, Mobi
Category : Geometry, Algebraic
Languages : en
Pages : 294
View: 132

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String Math 2016

by Amir-Kian Kashani-Poor, String Math 2016 Books available in PDF, EPUB, Mobi Format. Download String Math 2016 books, This volume contains the proceedings of the conference String-Math 2016, which was held from June 27–July 2, 2016, at Collége de France, Paris, France. String-Math is an annual conference covering the most significant progress at the interface of string theory and mathematics. The two fields have had a very fruitful dialogue over the last thirty years, with string theory contributing key ideas which have opened entirely new areas of mathematics and modern mathematics providing powerful concepts and tools to deal with the intricacies of string and quantum field theory. The papers in this volume cover topics ranging from supersymmetric quantum field theories, topological strings, and conformal nets to moduli spaces of curves, representations, instantons, and harmonic maps, with applications to spectral theory and to the geometric Langlands program.




Sugawara Operators For Classical Lie Algebras

Sugawara Operators for Classical Lie Algebras PDF
Author: Alexander Molev:
Publisher: American Mathematical Soc.
ISBN: 1470436590
Size: 56.65 MB
Format: PDF, ePub, Mobi
Category : Affine algebraic groups
Languages : en
Pages : 304
View: 6397

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Sugawara Operators For Classical Lie Algebras

by Alexander Molev:, Sugawara Operators For Classical Lie Algebras Books available in PDF, EPUB, Mobi Format. Download Sugawara Operators For Classical Lie Algebras books, The celebrated Schur-Weyl duality gives rise to effective ways of constructing invariant polynomials on the classical Lie algebras. The emergence of the theory of quantum groups in the 1980s brought up special matrix techniques which allowed one to extend these constructions beyond polynomial invariants and produce new families of Casimir elements for finite-dimensional Lie algebras. Sugawara operators are analogs of Casimir elements for the affine Kac-Moody algebras. The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical -algebras, which have numerous ties with many areas of mathematics and mathematical physics, including modular forms, conformal field theory, and soliton equations. An affine version of the matrix technique is developed and used to explain the elegant constructions of Sugawara operators, which appeared in the last decade. An affine analogue of the Harish-Chandra isomorphism connects the Sugawara operators with the classical -algebras, which play the role of the Weyl group invariants in the finite-dimensional theory.




Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space

Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space PDF
Author: Zeng Lian
Publisher: American Mathematical Soc.
ISBN: 0821846566
Size: 72.35 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 106
View: 900

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Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space

by Zeng Lian, Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space Books available in PDF, EPUB, Mobi Format. Download Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space books, The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.




Mathematical Reviews

Mathematical Reviews PDF
Author:
Publisher:
ISBN:
Size: 64.62 MB
Format: PDF
Category : Mathematics
Languages : en
Pages :
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Mathematical Reviews

by , Mathematical Reviews Books available in PDF, EPUB, Mobi Format. Download Mathematical Reviews books,