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Showing 1 to 4 of 4 for “"finite-dimensional algebra"”.
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On the Structure of Oriented Exchange Graphs
… of mathematics including representation theory, algebraic combinatorics, and noncommutative algebraic geometry. In representation theory, an oriented exchange graph is isomorphic to a poset of certain torsion classes of a finite dimensional algebra. Of particular interest to mathematicians and …
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From Homological Algebra To Topology via Type B Zigzag Algebra and Heisenberg Algebra
… braid group on the bounded homotopy category of finitely generated projective modules over a finite dimensional algebra which we call the type $B$ zigzag algebra. This categorical action is closely related to the action of the type $B$ braid group on curves on the disc. Thus, our exposition can …
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From Homological Algebra To Topology via Type B Zigzag Algebra and Heisenberg Algebra
… braid group on the bounded homotopy category of finitely generated projective modules over a finite dimensional algebra which we call the type $B$ zigzag algebra. This categorical action is closely related to the action of the type $B$ braid group on curves on the disc. Thus, our exposition can …
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Complexity over Finite-Dimensional Algebras
… we study two types of complexity of modules over finite-dimensional algebras.</p> <p>In the first part, we examine the Ω-complexity of a family of self-injective k-algebras where k is an algebraically closed field and Ω is the syzygy operator. More precisely, let T be the trivial extension of an …