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Linear Lie centralizers of the algebra of dominant block upper triangular matrices
Linear and multilinear algebra, 2021Let be the algebra of all dominant block upper triangular matrices over a field. In this paper, we explicitly describe all linear Lie centralizers of .
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Cluster multiplication theorem in the quantum cluster algebra of type A2(2) and the triangular basis
The objective of the present paper is to prove cluster multiplication theorem in the quantum cluster algebra of type A 2 ( 2 ) . As corollaries, we obtain bar-invariant Z [ q ± 1 2 ] -bases established in [6] , and naturally deduce the positivity of the ...
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