递增一元的表示理论

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2018-12-26 DOI:10.1090/memo/1420

Sema Gunturkun, A. Snowden

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引用次数: 13

摘要

研究了递增单群的表示理论。我们的结果提供了一个相当全面的表示范畴的图像:例如，我们描述了Grothendieck群(包括有效锥)，对射射对象进行了分类，建立了射射分辨率和射影分辨率的性质，构造了派生的自对偶性，等等。我们的工作是由该理论与其他领域的许多联系所驱动的，例如表示稳定性、交换代数、简单理论和洗牌代数。

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The Representation Theory of the Increasing Monoid

We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothendieck group (including the effective cone), classify injective objects, establish properties of injective and projective resolutions, construct a derived auto-duality, and so on. Our work is motivated by numerous connections of this theory to other areas, such as representation stability, commutative algebra, simplicial theory, and shuffle algebras.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464