投影映射t (v)→s (v)的核

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2019-12-07 DOI:10.59277/mrar.2023.25.75.2.287

C. Beli

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引用次数: 0

摘要

如果V是某个场F上的向量空间，那么我们就得到了已知的精确序列0→Λ2(V)→T2(V)→S2(V)→0，其中第一个映射由x∧y→x⊗y−y⊗x给出，第二个映射由x⊗y 7→xy给出。明显的推广，一个精确的序列，0→Λk(V)→T

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ON THE KERNEL OF THE PROJECTION MAP T(V ) → S(V )

If V is a vector space over some field F, then we have the well known exact sequence 0 → Λ2(V ) → T2(V ) → S2(V ) → 0, where the first map is given by x∧y → x⊗y−y⊗x and the second by x⊗y 7→ xy. The obvious generalization, an exact sequence, 0 → Λk(V ) → T

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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.