Timeline for Tensor products of permutation representations of symmetric groups.
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 9, 2015 at 5:27 | comment | added | user13315 | Is the above proposition remain true over positive characteristic? Since the exercise in Richard Stanley's book uses character of permutation module over char 0. | |
| Jul 14, 2011 at 18:51 | vote | accept | Dev Sinha | ||
| Jun 24, 2011 at 1:39 | answer | added | John Shareshian | timeline score: 8 | |
| Jun 24, 2011 at 0:12 | comment | added | Emmanuel Briand | I meant "It gives a new product on the symmetric functions of degree $n$, called the Kronecker product of symmetric functions." (or sometimes "internal product of symmetric functions"). | |
| Jun 24, 2011 at 0:09 | comment | added | Emmanuel Briand | The "Frobenius characteristic" is an isomorphism between the space of class functions of $S_n$ and the homogeneous symmetric functions of degree $n$. It sends the character of $\rho_P$ to the product of complete sums $h_P=h_{P_1} \cdot h_{P_2} \cdots $. By transport of structure it gives a new product on the symmetric functions of degree $n$. So you might find some references for this result by looking for "Kronecker products of complete sum symmetric functions". | |
| Jun 23, 2011 at 23:06 | history | asked | Dev Sinha | CC BY-SA 3.0 |