比利时vs摩洛哥足彩
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university of california san diego
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math 269 (combinatorics seminar)
jesse kim
web bases and noncrossing set partitions
abstract:
in 1995, kuperberg introduced a collection of web bases, which combinatorially encode $sl_2$ and $sl_3$ invariant tensors. by schur-weyl duality, these bases are also bases for the specht modules corresponding to partitions $(k,k) \vdash 2k$ and $(k,k,k) \vdash 3k$ respectively, and have nicer symmetry properties than the standard polytabloid basis. in 2017, rhoades introduced a basis for the specht module corresponding to partition $(k,k,1^{n-2k}) \vdash n$ indexed by noncrossing set partitions and with similarly nice symmetry properties. in this talk, we will explore these bases and the connections between them, and discuss how these connections might be used to create a similar basis for the specht module corresponding to $(k,k,k,1^{n-3k}) \vdash n$.
june 6, 2023
4:00 pm
apm 6402 (halkin room)
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