Titlebook: k-Schur Functions and Affine Schubert Calculus; Thomas Lam,Luc Lapointe,Mike Zabrocki Book 2014 Springer Science+Business Media New York 2

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Thomas Lam,Luc Lapointe,Jennifer Morse,Anne Schilling,Mark Shimozono,Mike Zabrocki disruption with equanimity and seek creative solutions to challenges uncommon in privileged settings. Particularly in tradition-bound societies, digitally-mediated learning must be validated and normalized, and prospective CALL teachers equipped to move beyond reconfiguring practice into reconsider

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Thomas Lam,Luc Lapointe,Jennifer Morse,Anne Schilling,Mark Shimozono,Mike ZabrockiFramework for Education and Training (ET 2020), 2011; Ioannou-Georgiou & Pavlou, .. European Commission, 2011). One of the reasons for the reluctance to its practice is the apparent lack of considerable teaching contents which form the basis of a content and language-based approach. However, if cont

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978-1-4939-4972-4Springer Science+Business Media New York 2014

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k-Schur Functions and Affine Schubert Calculus978-1-4939-0682-6Series ISSN 1069-5273 Series E-ISSN 2194-3079

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Introduction,Affine Schubert calculus is a subject that lies at the crossroads of combinatorics, geometry, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of .-Schur functions in the study of Macdonald polynomial positivity, a mostly combinatorial branch of symmetric function theory.

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Stanley Symmetric Functions and Peterson Algebras,This purpose of this chapter is to introduce Stanley symmetric functions and affine Stanley symmetric functions from the combinatorial and algebraic point of view. The presentation roughly follows three lectures I gave at a conference titled “Affine Schubert Calculus” held in July of 2010 at the Fields Institute in Toronto.

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Fields Institute Monographshttp://image.papertrans.cn/k/image/546121.jpg