Please use this identifier to cite or link to this item:
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10983| Title: | Universal Enveloping Algebras and Verma Modules |
| Authors: | MISHRA, MANISH Mazorchuk, Volodymyr MASKE, SUSHANT Dept. of Mathematics 20211001 |
| Keywords: | Representation theory Lie algebras Verma modules Highest weight Enveloping algebras |
| Issue Date: | May-2026 |
| Citation: | 123 |
| Abstract: | After Lie algebras were introduced by Sophus Lie, Elie Cartan gave the classification of semi-simple Lie algebras and began studying their representations by the early 20th century. The aim of this thesis is to survey the advances made in the representation theory of semi-simple Lie algebras since then, culminating in the study of the theory of the BGG Category \mathcal{O}. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10983 |
| Appears in Collections: | MS THESES |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 20211001_SUSHANT_SHIVAJI_MASKE_MS_Thesis.pdf | MS Thesis | 4.09 MB | Adobe PDF | View/Open |
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