This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A181746 #41 Jan 30 2021 18:04:11 %S A181746 8634368000,175898504162692612600853299200000, %T A181746 569584588357708246352221171200000000000, %U A181746 30903356351561222538825891668691517440000,75783579745006249731939558173442048000000,221669803220344213547594484715842176665500,11477043671509412495692698759458678235987968000 %N A181746 List of dimensions for which there exist several non-isomorphic irreducible representations of E8. %C A181746 Terms in this sequence are the terms which are repeated in A121732. %C A181746 This sequence is infinitely long. For example, there exists two non-isomorphic irreducible E8 representations of dimension n^120 * 8634368000 for any n>0 (the dimension formula is homogeneous of degree 120 after a suitable change of variables). I have found no dimension with more than two non-isomorphic irreducible E8 representations. - _Andy Huchala_, Nov 22 2020 %D A181746 N. Bourbaki, Lie Groups and Lie Algebras Chapters 4-6, Springer, 1968, 283-285. %H A181746 Andy Huchala, <a href="/A181746/b181746.txt">Table of n, a(n) for n = 1..332</a> %H A181746 Andy Huchala, <a href="/A181746/a181746_2.java.txt">Java program</a> %H A181746 Andy Huchala, <a href="/A181746/a181746.cpp.txt">C++ program</a> %e A181746 With the fundamental weights numbered as in Bourbaki, the highest weights 10100000 and 10000011 both correspond to irreducible representations of dimension 8634368000. The highest weights 23000130 and 12000231 both correspond to irreducible representations of dimension 175898504162692612600853299200000. %Y A181746 Cf. A121732. %K A181746 nonn %O A181746 1,1 %A A181746 _David A. Madore_, Nov 08 2010