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MATHEMATICAL NOTES

Notes

This page collects mathematical notes/surveys. Each item can be viewed directly in the browser or downloaded as a PDF.

Geometry and Algebra

A Talk on DAHA (Double Affine Hecke Algebras)
Learning notes on Ion's paper, with extensive computed examples and connections to Macdonald duality.
Slodowy Slices and Their Quantization
Notes on Slodowy slices, Hamiltonian reduction and BRST cohomology.
A Note on Algebraic Groups and Related Topics
This is an on-going note.
A Note on Lie Algebras
This is a hand-written Chinese note taken while learning Zhexian Wan's and Humphreys's books.
A Lecture on Highest Weight Rep of Infinite Dim Lie Alg
This is a hand-written lecture note taken while giving seminars at New Uzbekistan University. The original knowledge comes from a course taught by Li Ren at Sichuan University.
A Note on Quiver Varieties Slodowy Slices and Affine Grassmannians
This is an on-going note.
A Note on Gelfand-Naimark Theorem
This note was taken while learning from https://zhuanlan.zhihu.com/p/550302234.