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Glider representations of a chain of semisimple Lie algebras
| Content Provider | Scilit |
|---|---|
| Author | Caenepeel, Frederik Oystaeyen, Fred Van |
| Copyright Year | 2019 |
| Description | This chapter deals with the study of glider representations in the setting of semisimple Lie algebras. A glider representation is defined for some positively filtered ring FR and here we consider the right bounded algebra filtration FU(𝔤) on the universal enveloping algebra U(𝔤) of some semisimple Lie algebra 𝔤 given by a fixed chain of semisimple sub Lie algebras $𝔤_{1}$ ⊂ $𝔤_{2}$ ⊂ … ⊂ $𝔤_{ n }$ = 𝔤. Inspired by the classical representation theory, Verma glider representations are introduced. Their existence is related to the relations between the root systems of the appearing Lie algebras $𝔤_{ i }$. In particular, we consider chains of simple Lie algebras of the same type A, B, C and D. Book Name: Glider Representations |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2019-0-05618-3&isbn=9780367808389&doi=10.1201/9780367808389-6&format=pdf |
| Ending Page | 178 |
| Page Count | 26 |
| Starting Page | 153 |
| DOI | 10.1201/9780367808389-6 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2019-11-05 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Glider Representations Glider Representations Semisimple Lie Algebras |
| Content Type | Text |
| Resource Type | Chapter |
