Notes on higher-spin algebras: minimal representations and structure constants

Notes on Higher Spin Symmetries

The strong form of the AdS/CFT correspondence implies that the leading N expressions for the connected correlation functions of the gauge invariant operators in the free N = 4 supersymmetric Yang-Mills theory with the gauge group SU(N) correspond to the boundary S matrix of the classical interacting theory in the Anti de Sitter space. It was conjectured recently that the theory in the bulk shou...

the structure of lie derivations on c*-algebras

نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.

Notes on Representations of Algebras and Finite Groups

Lecture Notes on Higher-rank Graphs and Their C∗-algebras

These are notes for a short lecture course on k-graph C∗-algebras to be delivered at the Summer School on C∗-algebras and their interplay with dynamics at the Sophus Lie Conference Centre in Nordfjordeid, Norway in June 2010. They are not even remotely comprehensive of the work that many authors have done on k-graphs, nor are all details even of the material covered included. In addition, there...

Notes on Clifford Algebra and Spin(N) Representations

1 Euclidean Space We first consider representations of Spin(N).