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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
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
The Poset of [kappa]-shapes and Branching Rules for [kappa]-Schur Functions
Language: en
Pages: 101
Authors: Thomas Lam
Categories: Partially ordered sets
Type: BOOK - Published: 2013 - Publisher:

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We 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 s
On Central Critical Values of the Degree Four $L$-Functions for GSp(4): The Fundamental Lemma. III
Language: en
Pages: 150
Authors: Masaaki Furusawa
Categories: Mathematics
Type: BOOK - Published: 2013-08-23 - Publisher: American Mathematical Soc.

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Some time ago, the first and third authors proposed two relative trace formulas to prove generalizations of Böcherer's conjecture on the central critical value
Non-cooperative Equilibria of Fermi Systems with Long Range Interactions
Language: en
Pages: 173
Authors: Jean-Bernard Bru
Categories: Mathematics
Type: BOOK - Published: 2013-06-28 - Publisher: American Mathematical Soc.

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The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the st