TY  - BOOK
AU  - Callegaro,Filippo
AU  - Carnovale,Giovanna
AU  - Caselli,Fabrizio
AU  - De Concini,Corrado
AU  - De Sole,Alberto
ED  - SpringerLink (Online service)
TI  - Perspectives in Lie Theory
T2  - Springer INdAM Series,
SN  - 9783319589718
AV  - QA252-252.5 
U1  - 512.48 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Nonassociative rings
KW  - Rings (Algebra)
KW  - Mathematical physics
KW  - Algebraic topology
KW  - Combinatorics
KW  - Non-associative Rings and Algebras
KW  - Mathematical Physics
KW  - Algebraic Topology
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-58971-8
ER  -