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PERMANENT VERSUS DETERMINANT: NOT VIA SATURATIONS.
- Source :
-
Proceedings of the American Mathematical Society . Mar2017, Vol. 145 Issue 3, p1247-1258. 12p. - Publication Year :
- 2017
-
Abstract
- Let Detn denote the closure of the Gln2 (C)-orbit of the determinant polynomial detn with respect to linear substitution. The highest weights (partitions) of irreducible Gln2 (C)-representations occurring in the coordinate ring of Detn form a finitely generated monoid S(Detn). We prove that the saturation of S(Detn) contains all partitions λ with length at most n and size divisible by n. This implies that representation theoretic obstructions for the permanent versus determinant problem must be holes of the monoid S(Detn). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 145
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 120424729
- Full Text :
- https://doi.org/10.1090/proc/13310