Browsing Department of Mathematics by Subject "Algebra"
Now showing items 1-4 of 4
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A Study on Approximations of Totally Acyclic Complexes
(2021-08-23)Let $R$ be a commutative local ring to which we associate the subcategory $\Ktac(R)$ of the homotopy category of $R$-complexes, consisting of totally acyclic complexes. Further suppose there exists a surjection of Gorenstein ... -
BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ... -
Block Diagonalization and Eigenvalues
(University of Texas at ArlingtonDepartment of Mathematics, 1975-03)**Please note that the full text is embargoed** ABSTRACT: Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where ... -
On the Quantum Spaces of Some Quadratic Regular Algebras of Global Dimension Four
(2016-05-10)A quantum $\mathbb{P}^3$ is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well known that if a generic quadratic quantum ...