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Affine Lie AlgebrasUnder Construction Shuai Wang July 2016 1 Introduction Preparation for my oral qualification minor topic Basic knowledge about affine Lie algebras 2 concrete…

FREE LIE ALGEBRAS, GENERALIZED WITT FORMULA, AND THE DENOMINATOR IDENTITY Seok-Jin Kang and Myung-Hwan Kim Department of Mathematics Seoul National University Seoul 151-742,…

VERTEX ALGEBRAS VICTOR G. KAC Contents 1. The calculus of formal distributions 2 2. Formal Fourier Transform 7 A digression on Superalgebras 8 3. Lie conformal algebras 11…

HILBERT C∗-MODULES OVER Σ∗-ALGEBRAS A Dissertation Presented to the Faculty of the Department of Mathematics University of Houston In Partial Fulfillment of the Requirements…

Hopf algebras and Homological Algebra Ken Brown University of Glasgow BIRS Workshop Banff Canada 10 Sept 2015 Ken Brown University of Glasgow BIRS Workshop Banff Canada Hom…

ar X iv :1 50 8 04 67 8v 1 m at h O A 1 9 A ug 2 01 5 W∗-RIGIDITY FOR THE VON NEUMANN ALGEBRAS OF PRODUCTS OF HYPERBOLIC GROUPS IONUT CHIFAN ROLANDO DE SANTIAGO AND THOMAS…

Weyl orbits of π-systems in Kac-Moody algebras Krishanu Roy The Institute of Mathematical Sciences Chennai India Joint with Lisa Carbone K N Raghavan Biswajit Ransingh and…

Hopf algebras and homology of loop suspension spaces Victor Buchstaber Jelena Grbić Abstract In this paper we explore new relations between Algebraic Topology and the the-…

DIMENSION FORMULA FOR GRADED LIE ALGEBRAS AND ITS APPLICATIONS Seok-Jin Kang and Myung-Hwan Kim Department of Mathematics Seoul National University Seoul 151-742 Korea Abstract…

Notes on von Neumann algebras Jesse Peterson April 5, 2013 2 Chapter 1 Spectral theory If A is a complex unital algebra then we denote by G(A) the set of elements which have…

Holonomies for connections with values in L∞-algebras Camilo Arias Abad∗ and Florian Schätz† April 28, 2014 Abstract Given a flat connection α on a manifold M with…

Lie groups and Lie algebras Fall 2019 1. Terminology and notation 1.1. Lie groups. A Lie group is a group object in the category of manifolds: Definition 1.1. A Lie group…

KAC-MOODY GROUPS AND CLUSTER ALGEBRAS CHRISTOF GEISS, BERNARD LECLERC, AND JAN SCHRÖER Abstract. Let Q be a finite quiver without oriented cycles, let Λ be the associated…

Contents 1. The calculus of formal distributions 2 2. Formal Fourier Transform 7 A digression on Superalgebras 8 3. Lie conformal algebras 11 Relation of Lie conformal algebras

Electrodynamics Dr. Ray Kwok sjsu Electrodynamics – Dr. Ray Kwok Static Fields (stationary charges, steady current)             …

On some gauge invariants of Hopf algebras Siu-Hung Ng Iowa State University USA Non-commutative algebraic geometry 2011 Shanghai Workshop September 12-16 2011 On some gauge…

Rendiconti di Matematica Serie VII Volume 33 Roma 2013 27 – 52 Hecke algebras and harmonic analysis on finite groups FABIO SCARABOTTI – FILIPPO TOLLI To Alessandro Figà…

COMBINATORIAL INTEGERS mn j AND SCHUBERT CALCULUS IN THE INTEGRAL COHOMOLOGY RING OF INFINITE SMOOTH FLAG MANIFOLDS CENAP ÖZEL AND EROL YILMAZ Received 18 July 2005 Revised…

Neutrino Signals at Dark Matter Direct Detection Experiments Jocelyn Monroe Royal Holloway University of London XXIX International Conference on Neutrino Physics and Astrophysics…

Non-commutative deformations of gauge theories and L∞ algebras Vladislav Kupriyanov UFABC Based on arXiv: 180300732 180610314 190302867 190508753 in collaboration with…