https://rex-wzh.netlify.app/project/ProjectsWowchemy (https://wowchemy.com)en-ushttps://rex-wzh.netlify.app/media/icon_hu0b7a4cb9992c9ac0e91bd28ffd38dd00_9727_512x512_fill_lanczos_center_2.pnghttps://rex-wzh.netlify.app/project/https://rex-wzh.netlify.app/project/hopf-algebra/Mon, 01 Jan 0001 00:00:00 +0000https://rex-wzh.netlify.app/project/hopf-algebra/<p>Hopf 代数笔记（后边会再修改）</p> <p>参考教材：<a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/Hopf%20algebras%20and%20their%20actions%20on%20rings.pdf" target="_blank">Hopf algebras and their actions on rings</a>(Montgomery)</p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%201.1-1.5.pdf" target="_blank">Chapter 1.1-1.5</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%201.6-1.9.pdf" target="_blank">Chapter 1.6-1.9</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%202.3-2.5.pdf" target="_blank">Chapter 2.3-2.5</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%203.1-3.2.pdf" target="_blank">Chapter 3.1-3.2</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%203.3-3.5.pdf" target="_blank">Chapter 3.3-3.5</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%2004%20Action-Samsh%20product.pdf" target="_blank">Chapter 4</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%2007%20crossed%20product.pdf" target="_blank">Chapter 7.1-7.2</a></p> <p>Hopf algebra of <a href="https://rex-wzh.netlify.app/uploads/hopf-algebra/hopf%20Montgomery%207.3-7.5%20crossed%20product.pdf" target="_blank">Chapter 7.3-7.5</a></p>https://rex-wzh.netlify.app/project/lie-algebra/Mon, 01 Jan 0001 00:00:00 +0000https://rex-wzh.netlify.app/project/lie-algebra/<p>李代数笔记</p> <p>参考书本：<a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20algebras%20of%20finite%20and%20affine.pdf" target="_blank">Lie algebras of finite and affine (Carter Roger)</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2001%20%e5%9f%ba%e7%a1%80%e6%a6%82%e5%bf%b5.pdf" target="_blank">Chapter 01 基础概念</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2002%20%e5%8f%af%e8%a7%a3%e5%b9%82%e9%9b%b6%e4%b8%8a%e7%9a%84%e8%a1%a8%e7%a4%ba.pdf" target="_blank">Chapter 02 可解幂零上的表示</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2003%20Cartan%e5%ad%90%e4%bb%a3%e6%95%b0.pdf" target="_blank">Chapter 03 Cartan子代数</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2004%20Cartan%e5%88%86%e8%a7%a3.pdf" target="_blank">Chapter 04 Cartan分解</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2005%20%e6%a0%b9%e7%b3%bb%e4%b8%8eWeyl%e7%be%a4.pdf" target="_blank">Chapter 05 根系与Weyl群</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2006%20Cartan%e7%9f%a9%e9%98%b5%e4%b8%8eDynkin%e5%9b%be.pdf" target="_blank">Chapter 06 Cartan矩阵与Dynkin图</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2007%20%e5%ad%98%e5%9c%a8%e5%94%af%e4%b8%80%e6%80%a7%e5%ae%9a%e7%90%86.pdf" target="_blank">Chapter 07 存在唯一性定理</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2008%20%e5%8d%95Lie%e4%bb%a3%e6%95%b0%e5%88%86%e7%b1%bb.pdf" target="_blank">Chapter 08 单Lie代数分类</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2009%20%e6%b3%9b%e6%80%a7%e8%b4%a8%e6%9e%84%e9%80%a0.pdf" target="_blank">Chapter 09 泛性质构造</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2010%20%e5%8d%8a%e5%8d%95Lie%e4%bb%a3%e6%95%b0%e4%b8%8a%e7%9a%84%e4%b8%8d%e5%8f%af%e7%ba%a6%e6%a8%a1.pdf" target="_blank">Chapter 10 半单Lie代数上的不可约模</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2011%20%e6%b3%9b%e5%8c%85%e7%bb%9c%e7%9a%84%e6%9b%b4%e5%a4%9a%e6%80%a7%e8%b4%a8.pdf" target="_blank">Chapter 11 泛包络的更多性质</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2012%20%e7%89%b9%e5%be%81%e6%a0%87%e4%b8%8e%e7%bb%b4%e6%95%b0%e5%85%ac%e5%bc%8f.pdf" target="_blank">Chapter 12 特征标与维数公式</a></p> <p>Lie algebra - <a href="https://rex-wzh.netlify.app/uploads/lie-algebra/Lie%20%e4%bb%a3%e6%95%b0%2013%20%e5%8d%95%e6%9d%8e%e4%bb%a3%e6%95%b0%e7%9a%84%e5%9f%ba%e6%9c%ac%e6%a8%a1.pdf" target="_blank">Chapter 13 单李代数的基本模</a></p>