頁籤選單縮合
題名 | An Introduction to Diagrammatic Algebra and Categorified Quantum Sl₂= |
---|---|
作者 | Lauda, Aaron D.; |
期刊 | Bulletin of the Institute of Mathematics, Academia Sinica New Series |
出版日期 | 20120600 |
卷期 | 7:2 2012.06[民101.06] |
頁次 | 頁165-270 |
分類號 | 313 |
語文 | eng |
關鍵詞 | Categorification; Quantum sl(2); Cohomology of grassmannians; Diagrammatic algebra; Cyclotomic quotient; |
英文摘要 | This expository article explains how planar diagrammatics naturally arise in the study of categorified quantum groups with a focus on the categorification of quantum sl2. We derive the definition of categorified quantum sl2 and highlight some of the new structure that arises in categorified quantum groups. The expert will find a discussion of rescaling isomorphisms for categorified quantum sl2, a proof that cyclotomic quotients of the nil- Hecke algebra are isomorphic to matrix rings over the cohomology ring of Grassmannians, and an interpretation of ‘fake bubbles’ using symmetric functions. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。