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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeMay 12th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexStarted something. <a href="https://ncatlab.org/nlab/revision/hook+length+formula/1">v1</a>, <a href="https://ncatlab.org/nlab/show/hook+length+formula">current</a>

   Started something.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 15th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added ([here](https://ncatlab.org/nlab/show/hook+length+formula#ForSemiStandardYoungTableaux)) the formula in the version for semi-standard Young tableaux. Still need to find an authorative references. Currently I am taking this from Wikipedia, where this is stated without proof or pointer. <a href="https://ncatlab.org/nlab/revision/diff/hook+length+formula/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/hook+length+formula/4">v4</a>, <a href="https://ncatlab.org/nlab/show/hook+length+formula">current</a>

   I have added (here) the formula in the version for semi-standard Young tableaux.

   Still need to find an authorative references. Currently I am taking this from Wikipedia, where this is stated without proof or pointer.

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 16th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexmade more explicit how the hook length formula for semistandard tableaux is a hook-content formula and added a bunch of references on the hoo length formula for standard tableaux <a href="https://ncatlab.org/nlab/revision/diff/hook+length+formula/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/hook+length+formula/5">v5</a>, <a href="https://ncatlab.org/nlab/show/hook+length+formula">current</a>

   made more explicit how the hook length formula for semistandard tableaux is a hook-content formula

   and added a bunch of references on the hoo length formula for standard tableaux

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 16th 2021
   • (edited May 16th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have edited to bring out this pattern: | [[hook length formula]] | [[hook-content formula]] | |-------------------------|--------------------------| | [[number]] of [[standard Young tableaux]] | [[number]] of [[semistandard Young tableaux]] | | [[dimension]] of [[irreps]] of [[Sym(n)]] | [[dimension]] of [[irreps]] of [[SU(n)]] | <a href="https://ncatlab.org/nlab/revision/diff/hook+length+formula/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/hook+length+formula/6">v6</a>, <a href="https://ncatlab.org/nlab/show/hook+length+formula">current</a>

   I have edited to bring out this pattern:

   hook length formula	hook-content formula
   number of standard Young tableaux	number of semistandard Young tableaux
   dimension of irreps of Sym(n)	dimension of irreps of SU(n)

   diff, v6, current