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Linear Algebra}, FJOURNAL = {Electronic Journal of Linear Algebra}, VOLUME = {36}, YEAR = {2020}, PAGES = {658--663}, ISSN = {1081-3810}, MRCLASS = {15A15 (15A24 15B57)}, MRNUMBER = {4165809}, MRREVIEWER = {Bojan\ Kuzma}, } @article {MR3633289, AUTHOR = {Goodearl, K. R. and Yakimov, M. T.}, TITLE = {Quantum cluster algebra structures on quantum nilpotent algebras}, JOURNAL = {Mem. Amer. Math. 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We show that Aq(Xn) admits the structure of a symmetric CGL-extension. Leveraging this finding, we extend the construction of quantum cluster algebras through symmetric CGL-extensions under additional conditions. Consequently, we obtain an explicit quantum cluster structure on Aq(Xn). The cornerstone of our approach lies in utilizing the exchange matrix from the quantum coordinate ring of the unipotent subgroup N(w) in a symmetric Kac–Moody group G, which is associated with a particular Weyl group element. In this work, by using the different method we generalize existing results in [22], originally established for n=5, to the case of arbitrary positive integers n≥4.} } @article {MR3534832, AUTHOR = {Leclerc, B.}, TITLE = {Cluster structures on strata of flag varieties}, JOURNAL = {Adv. 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