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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
2
votes
1
answer
194
views
Dimension of spaces of invariants/tableaux functions
The Hook lenght formula gives the number of standard Young tableaux on a given diagram.
A variant gives the number of semistandard tableuax.
Does there exist a formula for counting "weighted table …
2
votes
2
answers
353
views
springer resolution over $\wedge^3 \mathbb{C}^6$
The action of $GL_6$ on $P(\wedge^3 \mathbb{C}^6)=P^{19}$ has 4 orbits (of dim 19, 18, 14, 9). Can you describe how the springer resolution applies to each of these orbits? It should have positive dim …