Unique Factorization For Tensor Products of Parabolic Verma Modules
| Autor: | Raghavan, K. N., Kumar, V. Sathish, Venkatesh, R., Viswanath, Sankaran |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $\mathfrak{g}$ be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra $\mathfrak{h}$. We prove a unique factorization property for tensor products of parabolic Verma modules. More generally, we prove unique factorization for products of characters of parabolic Verma modules when restricted to certain subalgebras of $\mathfrak{h}$. These include fixed point subalgebras of $\mathfrak{h}$ under subgroups of diagram automorphisms of $\mathfrak{g}$ and twisted graph automorphisms in the affine case. Comment: 20 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|