Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
Linear and Abstract Algebra
Representation of lie algebra of SL(2,C)
Reply to thread
Message
[QUOTE="paweld, post: 3136917, member: 137279"] Lie algebra [tex] \mathfrak{sl}(2,\mathbb{C}) [/tex] consists of all 2x2 complex traceless matricies. The space of these matricies is 6-dimensional vector space over real numbers field but is 3-dimensional space over complex numbers field. Number of different representations of this algebra depend on how we look at this algebra. If we assume that it's over complex number then it's just complexification of [tex] \mathfrak{su}(2) [/tex] (all representation might be indexed by one integer or halfinteger number). However if we treat it as space over real numbers then its representation are index by pair of (half)integer numbers. [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
Linear and Abstract Algebra
Representation of lie algebra of SL(2,C)
Back
Top