Minimal free resolution of the third Veronese subring of three variables: University of the Ryukyus Repository


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Title	:	Minimal free resolution of the third Veronese subring of three variables
Authors	:	Maeda, Takashi
Authors alternative	:	前田, 高士
Issue Date	:	30-Dec-1999
Abstract	:	The third component of the graded minimal free resolution of the third Veronese subring of three variables over a field k of characteristic zero, is proved to be decomposed into {741} 【○!+】 {732} 【○!+】 {651} 【○!+】 {642} 【○!+】 {633} 【○!+】 {552} 【○!+】 {543} 【○!×】 S(-4) as GL_3(k)-module, where {n, m, l} is the irreducible representation of GL_3(k) with the highest weight (n, m, l) and S is the polynomial ring of ten variables. They are expressed applying the symbolic method of ternary cubic forms in the classical invariant theory.
Type Local	:	紀要論文
ISSN	:	1344-008X
Publisher	:	Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus
URI	:	http://hdl.handle.net/20.500.12000/16091
Citation	:	Ryukyu mathematical journal Vol.12 p.9 -30
Appears in Collections	:	Vol.12 (1999)

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