On correspondences and representations
碩士 === 國立臺灣大學 === 數學研究所 === 106 === This report introduces some simple geometric representation theories, describing relations between geometries such as Schubert varieties, Steinberg varieties, Hilbert schemes of points and algebras like Weyl groups, Hecke algebras, Heisenberg superalgebras. These...
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| Format: | Others |
| Language: | en_US |
| Published: |
2018
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| Online Access: | http://ndltd.ncl.edu.tw/handle/x76w9v |
| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 106 === This report introduces some simple geometric representation theories, describing relations between geometries such as Schubert varieties, Steinberg varieties, Hilbert schemes of points and algebras like Weyl groups, Hecke algebras, Heisenberg superalgebras. These bridges are representing an algebra by operations of correspondences of a geometric theory or its convolution algebra, with auxiliary of decomposition principle, via the language of bivariant theories. The main motivation is making an attempt to develop formalisms to unify interpretations of these phenomena.
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