上釉彩 发表于 2025-3-25 04:12:01

The Number of Young TableauxAs we have seen before, a Schur polynomial is equal to the sum of monomials for Young tableaux of a given shape. In this chapter we address the following question: what is the number of such tableaux?

Mhc-Molecule 发表于 2025-3-25 08:03:54

Problem Set 1Consider the space Ω(.) ⊂ Λ(.) of homogeneous . functions of degree .:

Axon895 发表于 2025-3-25 13:26:41

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结构 发表于 2025-3-25 19:53:47

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名次后缀 发表于 2025-3-25 22:16:00

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多嘴 发表于 2025-3-26 03:13:37

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neurologist 发表于 2025-3-26 04:47:48

The Symmetric GroupThis part will be devoted to the study of .: functions that are symmetric in some variables, while not necessarily being symmetric in the others. More precisely, we will be working with .; as we will see, they generalize the notion of Schur polynomials.

glomeruli 发表于 2025-3-26 11:11:33

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无脊椎 发表于 2025-3-26 14:50:41

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委托 发表于 2025-3-26 20:24:51

Problem Set 3This series of exercises presents another proof of the Bereron–Billey–Fomin– Kirillov theorem on equivalence of algebraic and combinatorial definitions of Schubert polynomials (cf. ).
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