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Geometry of G/P —IV (Standard monomial theory for classical types)

Identifieur interne : 002700 ( Istex/Curation ); précédent : 002699; suivant : 002701

Geometry of G/P —IV (Standard monomial theory for classical types)

Auteurs : V. Lakshmibai ; C. Musili ; C. S. Seshadri

Source :

RBID : ISTEX:BD6A5872C548A3269A6BABA6A266C51D704432A6

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Url:
DOI: 10.1007/BF02842481

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ISTEX:BD6A5872C548A3269A6BABA6A266C51D704432A6

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V. Lakshmibai
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C. Musili
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C. S. Seshadri
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<wicri:noCountry code="subField">Bombay</wicri:noCountry>
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Le document en format XML

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<title level="j">Proceedings of the Indian Academy of Sciences - Section A. Part 3, Mathematical Sciences</title>
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<term>Admissible</term>
<term>Admissible chain</term>
<term>Admissible pair</term>
<term>Admissible pairs</term>
<term>Ample generator</term>
<term>Assertion</term>
<term>Base field</term>
<term>Basis elements</term>
<term>Canonical</term>
<term>Canonical homomorphism</term>
<term>Canonical image</term>
<term>Canonical morphism</term>
<term>Canonically</term>
<term>Character formula</term>
<term>Chevalley</term>
<term>Classical group</term>
<term>Classical type</term>
<term>Codim</term>
<term>Codimension</term>
<term>Cohomology</term>
<term>Demazure</term>
<term>Demazure’s conjecture</term>
<term>Deodhar</term>
<term>Direct summand</term>
<term>Divisor</term>
<term>Dominant weight</term>
<term>Double divisor</term>
<term>Equivalently</term>
<term>Exact sequence</term>
<term>Exact sequences</term>
<term>Fundamental weight</term>
<term>Fundamental weights</term>
<term>Generalisation</term>
<term>Ground field</term>
<term>Highest weight</term>
<term>Highest weight vector</term>
<term>Homomorphism</term>
<term>Immediate consequence</term>
<term>Induction hypothesis</term>
<term>Inductive</term>
<term>Inductive hypothesis</term>
<term>Injective</term>
<term>Inverse image</term>
<term>Irreducible</term>
<term>Isomorphism</term>
<term>Lakshmibai</term>
<term>Lemma</term>
<term>Line bundle</term>
<term>Linear combination</term>
<term>Linear independence</term>
<term>Main theorem</term>
<term>Maximal</term>
<term>Maximal parabolic subgroup</term>
<term>Maximal representative</term>
<term>Minuscule</term>
<term>Module</term>
<term>Monomial</term>
<term>Monomials</term>
<term>Morphism</term>
<term>Multidegree</term>
<term>Musili</term>
<term>Other hand</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Parabolic subgroups</term>
<term>Pierie’s formula</term>
<term>Resp</term>
<term>Same lines</term>
<term>Schematic union</term>
<term>Schubert</term>
<term>Schubert divisor</term>
<term>Schubert subvarieties</term>
<term>Schubert subvariety</term>
<term>Schubert varieties</term>
<term>Schubert variety</term>
<term>Seshadri</term>
<term>Simple root</term>
<term>Simple roots</term>
<term>Special schubert subvarieties</term>
<term>Special schubert subvariety</term>
<term>Special schubert varieties</term>
<term>Standard diagram</term>
<term>Standard diagrams</term>
<term>Standard monomial</term>
<term>Standard monomial theory</term>
<term>Standard monomials</term>
<term>Subgroup</term>
<term>Subscheme</term>
<term>Subset</term>
<term>Subvarieties</term>
<term>Subvariety</term>
<term>Suffices</term>
<term>Summand</term>
<term>Surjective</term>
<term>Unipotent</term>
<term>Weight vector</term>
<term>Weyl</term>
<term>Weyl group</term>
<term>Young diagram</term>
<term>Young diagrams</term>
<term>Young monomial</term>
<term>a -wight</term>
<term>admissible pairs</term>
<term>defining pairs</term>
<term>dominant weights</term>
<term>line bundles</term>
<term>minuscule, quasi-minuscule and of classical type</term>
<term>special quadratic relations</term>
<term>standard monomials</term>
<term>vanishing theorems</term>
<term>weakly standard monomials</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en">
<term>Admissible</term>
<term>Admissible chain</term>
<term>Admissible pair</term>
<term>Admissible pairs</term>
<term>Ample generator</term>
<term>Assertion</term>
<term>Base field</term>
<term>Basis elements</term>
<term>Canonical</term>
<term>Canonical homomorphism</term>
<term>Canonical image</term>
<term>Canonical morphism</term>
<term>Canonically</term>
<term>Character formula</term>
<term>Chevalley</term>
<term>Classical group</term>
<term>Classical type</term>
<term>Codim</term>
<term>Codimension</term>
<term>Cohomology</term>
<term>Demazure</term>
<term>Deodhar</term>
<term>Direct summand</term>
<term>Divisor</term>
<term>Dominant weight</term>
<term>Double divisor</term>
<term>Equivalently</term>
<term>Exact sequence</term>
<term>Exact sequences</term>
<term>Fundamental weight</term>
<term>Fundamental weights</term>
<term>Generalisation</term>
<term>Ground field</term>
<term>Highest weight</term>
<term>Highest weight vector</term>
<term>Homomorphism</term>
<term>Immediate consequence</term>
<term>Induction hypothesis</term>
<term>Inductive</term>
<term>Inductive hypothesis</term>
<term>Injective</term>
<term>Inverse image</term>
<term>Irreducible</term>
<term>Isomorphism</term>
<term>Lakshmibai</term>
<term>Lemma</term>
<term>Line bundle</term>
<term>Linear combination</term>
<term>Linear independence</term>
<term>Main theorem</term>
<term>Maximal</term>
<term>Maximal parabolic subgroup</term>
<term>Maximal representative</term>
<term>Minuscule</term>
<term>Module</term>
<term>Monomial</term>
<term>Monomials</term>
<term>Morphism</term>
<term>Multidegree</term>
<term>Musili</term>
<term>Other hand</term>
<term>Parabolic</term>
<term>Parabolic subgroup</term>
<term>Resp</term>
<term>Same lines</term>
<term>Schematic union</term>
<term>Schubert</term>
<term>Schubert divisor</term>
<term>Schubert subvarieties</term>
<term>Schubert subvariety</term>
<term>Schubert varieties</term>
<term>Schubert variety</term>
<term>Seshadri</term>
<term>Simple root</term>
<term>Simple roots</term>
<term>Special schubert subvarieties</term>
<term>Special schubert subvariety</term>
<term>Special schubert varieties</term>
<term>Standard diagram</term>
<term>Standard diagrams</term>
<term>Standard monomial</term>
<term>Standard monomial theory</term>
<term>Standard monomials</term>
<term>Subgroup</term>
<term>Subscheme</term>
<term>Subset</term>
<term>Subvarieties</term>
<term>Subvariety</term>
<term>Suffices</term>
<term>Summand</term>
<term>Surjective</term>
<term>Unipotent</term>
<term>Weight vector</term>
<term>Weyl</term>
<term>Weyl group</term>
<term>Young diagram</term>
<term>Young diagrams</term>
<term>Young monomial</term>
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