My Math Forum  

Go Back   My Math Forum > College Math Forum > Abstract Algebra

Abstract Algebra Abstract Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
January 2nd, 2015, 08:43 PM   #1
Senior Member
 
Joined: Aug 2014
From: India

Posts: 355
Thanks: 1

Lie algebra of Derivations as a functor?

To an associative algebra $A$ one can associate a Lie algebra $\operatorname{Der} A$ of all derivations $D:A\to A$.

To any morphism of associative algebras $\alpha:A\to B$, how can one associate a morphism of Lie algebras $\alpha_\ast:\operatorname{Der} A\to \operatorname{Der} B$ or $\alpha^\ast:\operatorname{Der} B\to \operatorname{Der} A$ in a functorial way?
Ganesh Ujwal is offline  
 
Reply

  My Math Forum > College Math Forum > Abstract Algebra

Tags
algebra, derivations, functor, lie



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
help with algebra, please algebrahelpplease Algebra 2 November 28th, 2011 11:43 AM
Algebra solver in several algebra equations malylo Algebra 2 November 10th, 2011 12:33 PM
trouble with derivations fakesmile Calculus 4 May 18th, 2009 08:22 AM
Algebra: Unanswered Questions in My Algebra Textbook polydorus Algebra 10 February 21st, 2009 10:20 AM
just a SOS algebra two iloatheparabolas Abstract Algebra 1 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.