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Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras

Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras

The aim of this article is to attach to the set of L-S paths of type <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="lamda"> <mml:semantics> <mml:mi>λ<!-- λ --></mml:mi> <mml:annotation encoding="application/x-tex">\lambda</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in a canonical way a basis of the corresponding representation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper V left-parenthesis lamda right-parenthesis"> <mml:semantics> …