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Root multiplicities for Nichols Algebras of diagonal type
In this thesis we chase the root multiplicities for Nichols algebras of diagonal type. Based on an inequality for the number of Lyndon words and an identity for the shuffle map, we illustrate when the multiplicity of a root is smaller than in the tensor algebra of a braided vector space of diagonal...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
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| অন্যান্য লেখক: | |
| বিন্যাস: | Dissertation |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
Philipps-Universität Marburg
2018
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | পিডিএফ এ সম্পূর্ন পাঠ |
| ট্যাগগুলো: |
ট্যাগ যুক্ত করুন
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| সংক্ষিপ্ত: | In this thesis we chase the root multiplicities for Nichols algebras of diagonal type. Based on an inequality for the number of Lyndon words and an identity for the shuffle map, we illustrate when the multiplicity of a root is smaller than in the tensor algebra of a braided vector space of diagonal type, and determine the dimension of the kernel of the shuffle map considered as an operator acting on the free algebra. Moreover, we give an complete expression for the multiplicities of a class of roots for Nichols algebras of diagonal type of rank two. |
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| দৈহিক বর্ননা: | 91 Seiten |
| ডিওআই: | 10.17192/z2018.0491 |