Publication

Hochschild and cyclic homology of Yang–Mills algebras

2012
Journal paper

Abstract

The aim of this article is to present a detailed algebraic computation ofthe Hochschild and cyclic homology groups of the Yang–Mills algebras YMðnÞ(nANf2)defined by A. Connes and M. Dubois-Violette in [8], continuing thus the study of thesealgebras that we have initiated in [17]. The computation involves the use of a spectralsequence associated to the natural filtration on the universal enveloping algebra YMðnÞprovided by a Lie idealtymðnÞinymðnÞwhich is free as Lie algebra. As a corollary, wedescribe the Lie structure of the first Hochschild cohomology group.

Official source

https://infoscience.epfl.ch/record/307039?ln=en

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Hochschild and cyclic homology of Yang–Mills algebras

Graph Chatbot

Chat with Graph Search

Cyclic $A_\infty$-algebras and cyclic homology

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

A Shadow Perspective on Equivariant Hochschild Homologies

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Cyclic $A_\infty$-algebras and cyclic homology

A Shadow Perspective on Equivariant Hochschild Homologies