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Perspectives in Lie Theory / edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole.
Springer Nature - Springer Mathematics and Statistics eBooks 2017 English International Available online
View online- Format:
- Book
- Series:
- Springer INdAM Series, 2281-518X ; 19
- Language:
- English
- Subjects (All):
- Nonassociative rings.
- Rings (Algebra).
- Mathematical physics.
- Algebraic topology.
- Combinatorial analysis.
- Non-associative Rings and Algebras.
- Mathematical Physics.
- Algebraic Topology.
- Combinatorics.
- Local Subjects:
- Non-associative Rings and Algebras.
- Mathematical Physics.
- Algebraic Topology.
- Combinatorics.
- Physical Description:
- 1 online resource (X, 461 p. 2788 illus., 5 illus. in color.)
- Edition:
- 1st ed. 2017.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references.
- ISBN:
- 3-319-58971-7
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