Finite dimensional modules over quantum toroidal algebras
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DOI: 10.1007/s11464-020-0846-9
Abstract: For all generic q ∈ ℂ*, when $$\mathfrak{g}$$ g is not of type A 1 , we prove that the quantum toroidal algebra $$U_q(\mathfrak{g}_{\rm{tor}})$$ U q ( g t o r ) has no nontrivial… read more here.
Keywords: finite dimensional; modules quantum; quantum toroidal; toroidal algebras ... See more keywords
Heisenberg Modules over Quantum 2-tori are Metrized Quantum Vector Bundles
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DOI: 10.4153/s0008414x19000166
Abstract: Abstract The modular Gromov–Hausdorff propinquity is a distance on classes of modules endowed with quantum metric information, in the form of a metric form of a connection and a left Hilbert module structure. This paper… read more here.
Keywords: modules quantum; quantum vector; heisenberg modules; metrized quantum ... See more keywords