The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A179684 The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E6. 0

%I #4 Feb 17 2015 20:34:44

%S 1,0,1,1,5,17,90,542,3962,33554,324489,3520885,42300709,556530474,

%T 7945317484,122145525208,2008827010000,35143981009968

%N The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E6.

%C This is known to satisfy a linear recurrence relation with polynomial coefficients. The limit of a(n+1)/a(n) is 78.

%e The n-th tensor power is the trivial representation for n=0 and is the adjoint representation for n=1. For n=2 every invariant tensor is a scalar multiple of a Killing form.

%K nonn

%O 0,5

%A _Bruce Westbury_, Jul 24 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 4 09:20 EDT 2024. Contains 373092 sequences. (Running on oeis4.)