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Results tagged with lie-algebras
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user 919
Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
13
votes
Does there exist something like an $H_3$ and $H_4$ (icosahedral) Lie algebra or algebraic gr...
One potential answer to your question is given by the theory of $p$-compact groups. See
Grodal, The classification of p-compact groups and homotopical group theory. Proc. Intl. Congress of Mathematic …
- 6,162
8
votes
Socle of tilting modules in the BGG category $\mathcal{O}$ over a semisimple Lie algebra
EDIT: Following a conversation with Ivan Losev, the situation is clearer now. Consider the principal block of $\mathcal{O}$. Recall two facts:
1) the socle of any Verma module is $L_{w_0}$,
2) takin …
- 6,162