Timeline for On the value of a skew Schur function at the identity
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 17, 2022 at 19:48 | history | edited | LSpice | CC BY-SA 4.0 |
`\eqref` and `\genfrac`
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| Jul 21, 2020 at 12:59 | vote | accept | thedude | ||
| Jul 20, 2020 at 23:28 | comment | added | thedude | @GjergjiZaimi Is there a version of formula (2) that holds for a finite number of variables? I looked in the paper by Wachs that is mentioned in exercise 102 of Stanley, but didnt find it helpful at all. | |
| Jul 20, 2020 at 20:09 | answer | added | Per Alexandersson | timeline score: 5 | |
| Jul 20, 2020 at 19:25 | comment | added | Fedor Petrov | Usually $[x]_q=(1-q^x) /(1-q) $. | |
| Jul 20, 2020 at 18:10 | comment | added | Gjergji Zaimi | The left hand side of (2) is not a polynomial but rather a power series. Don't confuse the full principal evaluation at infinitely many variables $1,q,q^2,\dots$ with the truncated principal evaluation $1,q,q^2,\dots,q^n,0,0,\dots $. With this in mind, it doesn't make sense to directly take a limit of (2) as $q\to 1$. If you want a framework to deal with both identities look at exercise 7.102 and its solution in Stanley's EC2. In particular the reference to the Jacobi-Trudi formula for flag Schur functions which generalizes both (1) and (2). | |
| Jul 20, 2020 at 17:26 | history | asked | thedude | CC BY-SA 4.0 |