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The injectivity conjecture for quantum Serre homomorphisms in TGWAs
Injectivity conjecture. The homomorphisms $\varphi_+$ and $\varphi_-$ are injective. This is proved when $C$ has type $A_2$ ; injectivity for general symmetric generalized Cartan ma…
Conjectureopenquantum-groups serre-relations twisted-generalized-weyl-algebrasarXiv posted 2 days ago
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The generation conjecture for generalized Serre relations in locally finite TGWAs
Let $I$ be the maximal graded ideal with trivial zero component defining a twisted generalized Weyl algebra, and consider the family of locally finite TGWAs constructed from a symm…
Conjectureopencartan-matrices serre-relations twisted-generalized-weyl-algebrasarXiv posted 2 days ago

The injectivity conjecture for quantum Serre homomorphisms in TGWAs