The Poset of k–Shapes and Branching Rules for k–Schur Functions by Lam, Thomas; Lapointe, Luc; Morse, Jennifer;

Series: Memoirs of the American Mathematical Society;

GET 10% OFF
The discount is only available for 'Alert of Favourite Topics' newsletter recipients.

Publisher's listprice GBP 66.00
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

31 531 Ft (30 030 Ft + 5% VAT)
Discount 10% (cc. 3 153 Ft off)
Discounted price 28 378 Ft (27 027 Ft + 5% VAT)

31 531 Ft

Availability

Temporarily out of stock.

Product details:

Publisher MP–AMM American Mathematical
Date of Publication 30 July 2013
Number of Volumes Paperback

ISBN 9780821872949
Binding Paperback
No. of pages102 pages
Size 250x150x15 mm
Weight 200 g
Language English

Short description:

The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes in $\mathrm{Gr}_{\mathrm{SL}_{k 1}}$. This is achieved by studying the combinatorics of a new class of partitions called $k$-shapes, which interpolates between $k$-cores and $k 1$-cores.

Long description:

The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian GrSLk into Schubert homology classes in GrSLk 1. This is achieved by studying the combinatorics of a new class of partitions called k-shapes, which interpolates between k-cores and k 1-cores. The authors define a symmetric function for each k-shape, and show that they expand positively in terms of dual k-Schur functions. They obtain an explicit combinatorial description of the expansion of an ungraded k-Schur function into k 1-Schur functions. As a corollary, they give a formula for the Schur expansion of an ungraded k-Schur function.

Recently viewed