Affine Insertion and Pieri Rules for the Affine Grassmannian is popular PDF and ePub book, written by Thomas Lam in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Affine Insertion and Pieri Rules for the Affine Grassmannian can be Read Online from any device for your convenience.
Affine Insertion and Pieri Rules for the Affine Grassmannian Book PDF Summary
The authors study combinatorial aspects of the Schubert calculus of the affine Grassmannian ${\rm Gr}$ associated with $SL(n,\mathbb{C})$.Their main results are: Pieri rules for the Schubert bases of $H^*({\rm Gr})$ and $H_*({\rm Gr})$, which expresses the product of a special Schubert class and an arbitrary Schubert class in terms of Schubert classes. A new combinatorial definition for $k$-Schur functions, which represent the Schubert basis of $H_*({\rm Gr})$. A combinatorial interpretation of the pairing $H^*({\rm Gr})\times H_*({\rm Gr}) \rightarrow\mathbb Z$ induced by the cap product.
Detail Book of Affine Insertion and Pieri Rules for the Affine Grassmannian PDF
- Author : Thomas Lam
- Release : 29 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821846582
- Genre : Mathematics
- Total Page : 103 pages
- Language : English
- PDF File Size : 11,8 Mb
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