Geometry of G/P —IV (Standard monomial theory for classical types)
Identifieur interne : 002C29 ( Main/Merge ); précédent : 002C28; suivant : 002C30Geometry of G/P —IV (Standard monomial theory for classical types)
Auteurs : V. Lakshmibai ; C. Musili ; C. S. SeshadriSource :
- Proceedings of the Indian Academy of Sciences - Section A. Part 3, Mathematical Sciences [ 0370-0097 ] ; 1979-09-01.
English descriptors
- KwdEn :
- Admissible, Admissible chain, Admissible pair, Admissible pairs, Ample generator, Assertion, Base field, Basis elements, Canonical, Canonical homomorphism, Canonical image, Canonical morphism, Canonically, Character formula, Chevalley, Classical group, Classical type, Codim, Codimension, Cohomology, Demazure, Demazure’s conjecture, Deodhar, Direct summand, Divisor, Dominant weight, Double divisor, Equivalently, Exact sequence, Exact sequences, Fundamental weight, Fundamental weights, Generalisation, Ground field, Highest weight, Highest weight vector, Homomorphism, Immediate consequence, Induction hypothesis, Inductive, Inductive hypothesis, Injective, Inverse image, Irreducible, Isomorphism, Lakshmibai, Lemma, Line bundle, Linear combination, Linear independence, Main theorem, Maximal, Maximal parabolic subgroup, Maximal representative, Minuscule, Module, Monomial, Monomials, Morphism, Multidegree, Musili, Other hand, Parabolic, Parabolic subgroup, Parabolic subgroups, Pierie’s formula, Resp, Same lines, Schematic union, Schubert, Schubert divisor, Schubert subvarieties, Schubert subvariety, Schubert varieties, Schubert variety, Seshadri, Simple root, Simple roots, Special schubert subvarieties, Special schubert subvariety, Special schubert varieties, Standard diagram, Standard diagrams, Standard monomial, Standard monomial theory, Standard monomials, Subgroup, Subscheme, Subset, Subvarieties, Subvariety, Suffices, Summand, Surjective, Unipotent, Weight vector, Weyl, Weyl group, Young diagram, Young diagrams, Young monomial, a -wight, admissible pairs, defining pairs, dominant weights, line bundles, minuscule, quasi-minuscule and of classical type, special quadratic relations, standard monomials, vanishing theorems, weakly standard monomials.
- Teeft :
- Admissible, Admissible chain, Admissible pair, Admissible pairs, Ample generator, Assertion, Base field, Basis elements, Canonical, Canonical homomorphism, Canonical image, Canonical morphism, Canonically, Character formula, Chevalley, Classical group, Classical type, Codim, Codimension, Cohomology, Demazure, Deodhar, Direct summand, Divisor, Dominant weight, Double divisor, Equivalently, Exact sequence, Exact sequences, Fundamental weight, Fundamental weights, Generalisation, Ground field, Highest weight, Highest weight vector, Homomorphism, Immediate consequence, Induction hypothesis, Inductive, Inductive hypothesis, Injective, Inverse image, Irreducible, Isomorphism, Lakshmibai, Lemma, Line bundle, Linear combination, Linear independence, Main theorem, Maximal, Maximal parabolic subgroup, Maximal representative, Minuscule, Module, Monomial, Monomials, Morphism, Multidegree, Musili, Other hand, Parabolic, Parabolic subgroup, Resp, Same lines, Schematic union, Schubert, Schubert divisor, Schubert subvarieties, Schubert subvariety, Schubert varieties, Schubert variety, Seshadri, Simple root, Simple roots, Special schubert subvarieties, Special schubert subvariety, Special schubert varieties, Standard diagram, Standard diagrams, Standard monomial, Standard monomial theory, Standard monomials, Subgroup, Subscheme, Subset, Subvarieties, Subvariety, Suffices, Summand, Surjective, Unipotent, Weight vector, Weyl, Weyl group, Young diagram, Young diagrams, Young monomial.
Url:
DOI: 10.1007/BF02842481
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<profileDesc><textClass><keywords scheme="KwdEn" 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>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>
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<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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