Standard monomial theory
In algebraic geometry, standard monomial theory describes the sections of a line bundle over a generalized flag variety or Schubert variety of a reductive algebraic group by giving an explicit basis of elements called standard monomials. Many of the results have been extended to Kac–Moody algebras and their groups. There are monographs on standard monomial theory by and and survey articles by V. Lakshmibai, C. Musili, and C. S. Seshadri and V. Lakshmibai and C. S. Seshadri One of important open problems is to give a completely geometric construction of the theory.
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Standard monomial theory
In algebraic geometry, standard monomial theory describes the sections of a line bundle over a generalized flag variety or Schubert variety of a reductive algebraic group by giving an explicit basis of elements called standard monomials. Many of the results have been extended to Kac–Moody algebras and their groups. There are monographs on standard monomial theory by and and survey articles by V. Lakshmibai, C. Musili, and C. S. Seshadri and V. Lakshmibai and C. S. Seshadri One of important open problems is to give a completely geometric construction of the theory.
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In algebraic geometry, standar ...... ic construction of the theory.
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Alfred Young
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chapter
Standard monomial theory
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doi
editor1-first
S.
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editor1-last
Ramanan
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editor2-first
C.
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editor2-last
Musili
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editor3-first
N. Mohan
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editor3-last
Kumar
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first
Alfred
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C. S.
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C.
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V.
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journal
Bulletin of the American Mathematical Society
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last
Lakshmibai
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Musili
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Seshadri
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Young
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Location
Madras
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publisher
Manoj Prakashan
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series
New Series
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title
Geometry of G/P
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Proceedings of the Hyderabad Conference on Algebraic Groups
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year
comment
In algebraic geometry, standar ...... ic construction of the theory.
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label
Standard monomial theory
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