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
Level-One Modules of Quantum N-Toroidal Algebras in Type B
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DOI: 10.1142/s1005386724000427
Abstract: Quantum [Formula: see text]-toroidal algebras are generalization of the quantum toroidal algebras. In this paper, we construct two types of level-one vertex representations of the quantum [Formula: see text]-toroidal algebras in type [Formula: see text],… read more here.
Keywords: see text; algebras type; toroidal algebras; quantum toroidal ... See more keywords
CDT Quantum Toroidal Spacetimes: An Overview
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DOI: 10.3390/universe7040079
Abstract: Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way. It has a built-in… read more here.
Keywords: topology; cdt quantum; quantum toroidal; geometry ... See more keywords