Affine, Vertex and W-algebras

Author:   Dražen Adamović ,  Paolo Papi
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   37
ISBN:  

9783030329051


Pages:   218
Publication Date:   11 December 2019
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Affine, Vertex and W-algebras


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Overview

This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.

Full Product Details

Author:   Dražen Adamović ,  Paolo Papi
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2019
Volume:   37
Weight:   0.512kg
ISBN:  

9783030329051


ISBN 10:   3030329054
Pages:   218
Publication Date:   11 December 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi and Ozren Perše, Kostant’s pair of Lie type and conformal embeddings.- 2 Dan Barbasch and Pavle Pandžić, Twisted Dirac index and applications to characters.- 3 Katrina Barron, Nathan Vander Werf, and Jinwei Yang, The level one Zhu algebra for the Heisenberg vertex operator algebra.- 4 Marijana Butorac, Quasi-particle bases of principal subspaces of affine Lie algebras.- 5 Alessandro D’Andrea, The Poisson Lie algebra, Rumin’s complex and base change.- 6 Alberto De Sole, Classical and quantum W -algebras and applications to Hamiltonian equations.- 7 Shashank Kanade and David Ridout, NGK and HLZ: fusion for physicists and mathematicians.- 8 Antun Milas and Michael Penn and Josh Wauchope, Permutation orbifolds of rank three fermionic vertex superalgebras.- 9 Mirko Primc, Some combinatorial coincidences for standard representations of affine Lie algebras.

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Author Information

Dražen Adamović  is Full Professor of Mathematics  at the University of Zagreb, Croatia. He received his PhD in Mathematics from the University of Zagreb. He is the author of more than 50 peer-reviewed research publications on the representation theory of vertex algebras, W-algebras, and infinite-dimensional Lie algebras, with special emphasis on vertex algebras appearing in conformal field theory. Paolo Papi is Full Professor of Geometry at Sapienza University of Rome, Italy. He received his PhD in Mathematics from the University of Pisa. He is the author of more than 40 peer-reviewed research publications on Lie theory, algebraic combinatorics, representation theory of Lie algebras, and superalgebras, with special emphasis on combinatorics of root systems and infinite dimensional structures (affine Lie algebras, vertex algebras).

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