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k-Schur Functions and Affine Schubert Calculus
Language: en
Pages: 226
Authors: Thomas Lam
Categories: Mathematics
Type: BOOK - Published: 2014-06-05 - Publisher: Springer

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This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the cur
K-Schur Functions and Affine Schubert Calculus
Language: en
Pages: 228
Authors: Thomas Lam
Categories:
Type: BOOK - Published: 2014-06-30 - Publisher:

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The Poset of $k$-Shapes and Branching Rules for $k$-Schur Functions
Language: en
Pages: 113
Authors: Thomas Lam
Categories: Mathematics
Type: BOOK - Published: 2013-04-22 - Publisher: American Mathematical Soc.

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The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes
Schubert Calculus and Its Applications in Combinatorics and Representation Theory
Language: en
Pages: 367
Authors: Jianxun Hu
Categories: Mathematics
Type: BOOK - Published: 2020-10-24 - Publisher: Springer Nature

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This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in
Affine Insertion and Pieri Rules for the Affine Grassmannian
Language: en
Pages: 103
Authors: Thomas Lam
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: American Mathematical Soc.

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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