BourbakiV1, Main, Exploration, bibRecord, 001A77

K -theory of twisted differential operators on flag varieties

Identifieur interne : 001A77 ( Main/Exploration ); précédent : 001A76; suivant : 001A78

K -theory of twisted differential operators on flag varieties

Auteurs : Martin P. Holland [Royaume-Uni] ; Patrick Polo [France]

Source :

Inventiones mathematicae [ 0020-9910 ] ; 1996-12-01.

RBID : ISTEX:A3691F0024B2166F0B426C2B728816972405BB17

English descriptors

KwdEn :
- Abelian group, Affine, Algebra, Analogue, Bernstein, Cartan, Cech, Cellular decomposition, Cients, Coefficient, Cohr, Comparison theorem, Composition series, Corollary, Differential operators, Direct image, Direct summand, Endomorphism, Endomorphism rings, Erential, Erential operators, Exact category, Exact functor, Exact functors, Exact sequence, Finitely, First part, Flag varieties, Full subcategory, Functor, Functors, Global dimension, Highest weight, Homomorphism, Horizontal arrows, Horizontal maps, Injective, Isomorphic, Isomorphism, Lecture notes, Lemma, Main result, Main results, Main theorem, Math, Maxw, Minw, Modf, Modqc, Module, More notation, Morita equivalent, Morphism, Nite, Nitely, Notation, Obtains, Other hand, Polo, Previous proposition, Previous theorem, Primitive factor, Primitive factors, Primitive ideals, Projection formula, Projective, Projective right, Projr, Proper morphism, Quotient, Quotient category, Regular representation, Regular weight, Resp, Root system, Sect, Semisimple, Sheaf, Simple reflections, Smooth varieties, Smooth variety, Split surjective, Stdo, Subcategory, Subgroup, Subset, Surjective, Tamely, Theorem, Unique element, Verma module, Vertical maps, Weyl group.
Teeft :
- Abelian group, Affine, Algebra, Analogue, Bernstein, Cartan, Cech, Cellular decomposition, Cients, Coefficient, Cohr, Comparison theorem, Composition series, Corollary, Differential operators, Direct image, Direct summand, Endomorphism, Endomorphism rings, Erential, Erential operators, Exact category, Exact functor, Exact functors, Exact sequence, Finitely, First part, Flag varieties, Full subcategory, Functor, Functors, Global dimension, Highest weight, Homomorphism, Horizontal arrows, Horizontal maps, Injective, Isomorphic, Isomorphism, Lecture notes, Lemma, Main result, Main results, Main theorem, Math, Maxw, Minw, Modf, Modqc, Module, More notation, Morita equivalent, Morphism, Nite, Nitely, Notation, Obtains, Other hand, Polo, Previous proposition, Previous theorem, Primitive factor, Primitive factors, Primitive ideals, Projection formula, Projective, Projective right, Projr, Proper morphism, Quotient, Quotient category, Regular representation, Regular weight, Resp, Root system, Sect, Semisimple, Sheaf, Simple reflections, Smooth varieties, Smooth variety, Split surjective, Stdo, Subcategory, Subgroup, Subset, Surjective, Tamely, Theorem, Unique element, Verma module, Vertical maps, Weyl group.

Abstract

Abstract: Let $$\mathfrak{g}$$ be a semisimple Lie algebra overk, an algebraically closed field of characteristic zero, and let $$\mathfrak{h} \subset \mathfrak{b}$$ be a Cartan subalgebra inside a Borel subalgebra of $$\mathfrak{g}$$ . LetU be the enveloping algebra of $$\mathfrak{g}$$ . For $$\mu \in \mathfrak{h} * $$ letM(μ) denote the corresponding Verma modúle and letU u=U/AnnM(μ). LetW be the Weyl group and letW μ 0 be the stabiliser of μ inW. We prove the following theorem, which affirms a conjecture of T.J. Hodges.

Url:

DOI: 10.1007/BF01232383

Affiliations:

Le document en format XML

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<term>Cients</term>
<term>Coefficient</term>
<term>Cohr</term>
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<term>Composition series</term>
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<term>Regular weight</term>
<term>Resp</term>
<term>Root system</term>
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<term>Semisimple</term>
<term>Sheaf</term>
<term>Simple reflections</term>
<term>Smooth varieties</term>
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<front><div type="abstract" xml:lang="en">Abstract: Let $$\mathfrak{g}$$ be a semisimple Lie algebra overk, an algebraically closed field of characteristic zero, and let $$\mathfrak{h} \subset \mathfrak{b}$$ be a Cartan subalgebra inside a Borel subalgebra of $$\mathfrak{g}$$ . LetU be the enveloping algebra of $$\mathfrak{g}$$ . For $$\mu \in \mathfrak{h} * $$ letM(μ) denote the corresponding Verma modúle and letU u=U/AnnM(μ). LetW be the Weyl group and letW μ 0 be the stabiliser of μ inW. We prove the following theorem, which affirms a conjecture of T.J. Hodges.</div>
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K -theory of twisted differential operators on flag varieties

K -theory of twisted differential operators on flag varieties

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