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dc.contributor.author
Rigal, L.
dc.contributor.author
Zadunaisky Bustillos, Pablo Mauricio
dc.date.available
2017-07-07T21:09:13Z
dc.date.issued
2012-12
dc.identifier.citation
Rigal, L.; Zadunaisky Bustillos, Pablo Mauricio; Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration; Elsevier Inc; Journal Of Algebra; 372; 12-2012; 293-317
dc.identifier.issn
0021-8693
dc.identifier.uri
http://hdl.handle.net/11336/19931
dc.description.abstract
In the present paper, we are interested in natural quantum analogues of Richardson varieties in the type A grassmannians. To be more precise, the objects that we investigate are quantum analogues of the homogeneous coordinate rings of Richardson varieties which appear naturally in the theory of quantum groups. Our point of view, here, is geometric: we are interested in the regularity properties of these non-commutative varieties, such as their irreducibility, normality, Cohen–Macaulayness… in the spirit of non-commutative algebraic geometry. A major step in our approach is to show that these algebras have the structure of an algebra with a straightening law. From this, it follows that they degenerate to some quantum analogues of toric varieties.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Algebra
dc.subject
Quantum
dc.subject
Flag
dc.subject
Schubert
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Quantum analogues of Richardson varieties in the grassmannian and their toric degeneration
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-07T14:43:37Z
dc.journal.volume
372
dc.journal.pagination
293-317
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Rigal, L.. Universite de Paris 13-Nord; Francia
dc.description.fil
Fil: Zadunaisky Bustillos, Pablo Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Journal Of Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2012.09.016
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869312004577
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1107.1396
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