頁籤選單縮合
題 名 | A Survey of Heisenberg Categorification Via Graphical Calculus |
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作 者 | Anthony Licata; Alistair Savage; | 書刊名 | Bulletin of the Institute of Mathematics, Academia Sinica New Series |
卷 期 | 7:2 2012.06[民101.06] |
頁 次 | 頁291-321 |
分類號 | 313 |
關鍵詞 | Categorification; Heisenberg algebra; Hecke algebra; Planar diagrammatics; Hilbert scheme; Fock space; |
語 文 | 英文(English) |
英文摘要 | In this expository paper we present an overview of various graphical categorifications of the Heisenberg algebra and its Fock space representation. We begin with a discussion of “weak” categorifications via modules for Hecke algebras and “geometrizations” in terms of the cohomology of the Hilbert scheme of points on the resolution of a simple singularity. We then turn our attention to more recent “strong” categorifications involving planar diagrammatics and derived categories of coherent sheaves on Hilbert schemes. |
本系統中英文摘要資訊取自各篇刊載內容。