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A non-iterative formula for straightening fillings of Young diagrams.
- Source :
- Selecta Mathematica, New Series; Jul2024, Vol. 30 Issue 3, p1-20, 20p
- Publication Year :
- 2024
-
Abstract
- Young diagrams are fundamental combinatorial objects in representation theory and algebraic geometry. Many constructions that rely on these objects depend on variations of a straightening process that expresses a filling of a Young diagram as a sum of semistandard tableaux subject to certain relations. This paper solves the long standing open problem of giving a non-iterative formula for straightening a filling. We apply our formula to give a complete generalization of a theorem of Gonciulea and Lakshmibai. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGEBRAIC geometry
REPRESENTATION theory
GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 10221824
- Volume :
- 30
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Selecta Mathematica, New Series
- Publication Type :
- Academic Journal
- Accession number :
- 176781378
- Full Text :
- https://doi.org/10.1007/s00029-024-00923-9