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|a 9783319589718
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|a Callegaro, Filippo
|e [editor]
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|a Perspectives in Lie Theory
|h Elektronische Ressource
|c edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole
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250 |
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|a 1st ed. 2017
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260 |
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|a Cham
|b Springer International Publishing
|c 2017, 2017
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300 |
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|a X, 461 p. 2788 illus., 5 illus. in color
|b online resource
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|a Part I Lecture notes. - 1 Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE -- 2 An introduction to algebras of chiral differential operators -- 3 Representations of Lie Superalgebras -- 4 Introduction toW-algebras and their representation theory. Part II Contributed papers -- 5 Representations of the framisation of the Temperley–Lieb algebra -- 6 Some semi-direct products with free algebras of symmetric invariants -- 7 On extensions of affine vertex algebras at half-integer levels -- 8 Dirac cohomology in representation theory -- 9 Superconformal Vertex Algebras and Jacobi Forms -- 10 Centralizers of nilpotent elements and related problems -- 11 Pluri-Canonical Models of Supersymmetric Curves -- 12 Report on the Broué-Malle-Rouquier conjectures -- 13 A generalization of the Davis-Januszkiewicz construction -- 14 Restrictions of free arrangements and the division theorem -- 15 The pure braid groups and their relatives -- 16 Homological representations of braid groups and the space of conformal blocks -- 17 Totally nonnegative matrices, quantum matrices and back, via Poisson geometry
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653 |
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|a Combinatorics
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653 |
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|a Rings (Algebra)
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653 |
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|a Nonassociative rings
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653 |
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|a Mathematical Physics
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653 |
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|a Non-associative Rings and Algebras
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653 |
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|a Algebraic Topology
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653 |
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|a Mathematical physics
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653 |
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|a Algebraic topology
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653 |
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|a Combinatorics
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700 |
1 |
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|a Carnovale, Giovanna
|e [editor]
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700 |
1 |
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|a Caselli, Fabrizio
|e [editor]
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700 |
1 |
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|a De Concini, Corrado
|e [editor]
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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490 |
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|a Springer INdAM Series
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856 |
4 |
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|u https://doi.org/10.1007/978-3-319-58971-8?nosfx=y
|x Verlag
|3 Volltext
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|a 512.48
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|a Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics
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