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 A339251 #22 May 31 2024 14:50:45 %S A339251 1903725824,16349520330,8971740610560,34695403142400,824608512000000, %T A339251 4660749155462400,5099341625414400,6681177699123200,35516286743137200, %U A339251 61732518862014000,95583619816439040,631645584845184000,972524604841574400,1199167756428096000 %N A339251 List of dimensions for which there exist several non-isomorphic irreducible representations of E7. %C A339251 Terms which could be repeated in A121736. %C A339251 There are infinitely many terms in this sequence; see A181746. %D A339251 N. Bourbaki, Lie groups and Lie algebras, Chapters 4-6, Springer, 2002. %D A339251 J. E. Humphreys, Introduction to Lie algebras and representation theory, Springer, 1997. %H A339251 Andy Huchala, <a href="/A339251/b339251.txt">Table of n, a(n) for n = 1..9000</a> %H A339251 Andy Huchala, <a href="/A339251/a339251.cpp.txt">C++ Program</a> %H A339251 Wikipedia, <a href="https://en.wikipedia.org/wiki/E7_(mathematics)">E7 (mathematics)</a> %e A339251 With the fundamental weights numbered as in Bourbaki, the irreducible E7-modules with highest weights [0,0,0,1,1,0,0] and [0,0,0,0,0,2,3] both have dimension 1903725824. The highest weights [3,0,0,1,0,0,0] and [0,0,0,0,1,0,5] both correspond to irreducible representations of dimension 16349520330. %o A339251 (Java) // See Links section of A181746. %o A339251 (C++) // See Links section above and in A181746. %Y A339251 Cf. A181746, A121736. %K A339251 nonn %O A339251 1,1 %A A339251 _Andy Huchala_, Apr 02 2021