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dc.contributorSottile, Frank
dc.creatorRuffo, James Vincent
dc.date.accessioned2010-01-14T23:58:39Z
dc.date.accessioned2010-01-16T01:54:36Z
dc.date.accessioned2017-04-07T19:56:31Z
dc.date.available2010-01-14T23:58:39Z
dc.date.available2010-01-16T01:54:36Z
dc.date.available2017-04-07T19:56:31Z
dc.date.created2007-08
dc.date.issued2009-05-15
dc.identifier.urihttp://hdl.handle.net/1969.1/ETD-TAMU-1550
dc.description.abstractThe Drinfel?d Lagrangian Grassmannian compacti?es the space of algebraic maps of ?xed degree from the projective line into the Lagrangian Grassmannian. It has a natural projective embedding arising from the highest weight embedding of the ordinary Lagrangian Grassmannian, and one may study its de?ning ideal in this embedding.The Drinfel?d Lagrangian Grassmannian is singular. However, a concrete description of generators for the de?ning ideal of the Schubert subvarieties of the Drinfel?d Lagrangian Grassmannian would implythat the singularities are modest. I prove that the de?ning ideal of any Schubert subvariety is generated by polynomials which give a straightening law on an ordered set. Using this fact, I show that any such subvariety is Cohen-Macaulay and Koszul. These results represent a partial extension of standard monomial theory to the Drinfel?d Lagrangian Grassmannian.
dc.language.isoen_US
dc.subjectquasimaps
dc.subjectalgebras with straightening law
dc.titleA straightening law for the Drinfel'd Lagrangian Grassmannian
dc.typeBook
dc.typeThesis


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