A quantum cluster algebra approach to representations of simply laced quantum affine algebras
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DOI: 10.1007/s00209-020-02664-9
Abstract: We establish a quantum cluster algebra structure on the quantum Grothendieck ring of a certain monoidal subcategory of the category of finite-dimensional representations of a simply-laced quantum affine algebra. Moreover, the (q, t)-characters of certain irreducible… read more here.
Keywords: cluster algebra; quantum; quantum cluster; quantum affine ... See more keywords
Strong positivity for quantum theta bases of quantum cluster algebras
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DOI: 10.1007/s00222-021-01061-1
Abstract: We construct “quantum theta bases,” extending the set of quantum cluster monomials, for various versions of skew-symmetric quantum cluster algebras. These bases consist precisely of the indecomposable universally positive elements of the algebras they generate,… read more here.
Keywords: cluster; quantum theta; theta bases; quantum cluster ... See more keywords
Role of water coordination at zinc binding site and its catalytic pathway of dizinc creatininase: insights from quantum cluster approach
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Computer-Aided Molecular Design"
DOI: 10.1007/s10822-022-00451-8
Abstract: Creatininase is a key enzyme of creatinine-metabolizing pathway in mammals, and has a great potential for diagnostic application. It catalyzes the reversible conversion of creatinine to creatine. Here, we investigated its reaction mechanism with density… read more here.
Keywords: role; proton; reaction; creatininase ... See more keywords
Graded quantum cluster algebras of infinite rank as colimits
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DOI: 10.1016/j.jpaa.2017.12.014
Abstract: We provide a graded and quantum version of the category of rooted cluster algebras introduced by Assem, Dupont and Schiffler and show that every graded quantum cluster algebra of infinite rank can be written as… read more here.
Keywords: quantum cluster; infinite rank; cluster algebras; cluster ... See more keywords
Improved Bioavailability of Curcumin in Gliadin-Protected Gold Quantum Cluster for Targeted Delivery
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DOI: 10.1021/acsomega.9b00917
Abstract: This study deals with the synthesis of a gliadin-stabilized gold quantum cluster (AuQC) for the encapsulation of curcumin (CUR) and its targeted delivery to the cancer cell. CUR is an anticancer drug containing a hydrophobic… read more here.
Keywords: bioavailability; cur; targeted delivery; gold quantum ... See more keywords
Quantum cluster quasicrystals
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DOI: 10.1103/physrevb.101.134522
Abstract: Quasicrystals remain among the most intriguing materials in physics and chemistry. Their structure results in many unusual properties including anomalously low friction as well as poor electrical and thermal conductivity but it also supports superconductivity,… read more here.
Keywords: chemistry; quantum cluster; superfluidity; cluster quasicrystals ... See more keywords
The Ionic Product of Water in the Eye of the Quantum Cluster Equilibrium
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DOI: 10.3390/molecules27041286
Abstract: The theoretical description of water properties continues to be a challenge. Using quantum cluster equilibrium (QCE) theory, we combine state-of-the-art quantum chemistry and statistical thermodynamic methods with the almost historical Clausius–Clapeyron relation to study water… read more here.
Keywords: water; ionic product; quantum cluster; cluster equilibrium ... See more keywords