This dissertation, composing of three documents and a conclusion, studies buildings of stratified algebras and representations of Lie superalgebras. In Paper we offer a depiction when the Ringel dual of an SSS-algebra is correctly stratified. We reveal that for an SSS-algebra, whose Ringel dual is correctly stratified, there exists a (generalized) tilting module that allows one to compute the finitistic dimension of the SSS-algebra, as well as, it engenders a fresh covariant Ringel-type duality.In Paper II we provide a portrayal of standardly stratified algebras in the case of certain filtrations of (left or right) projective themes, generalizing the related theorem of V. Dlab. We extend the idea of Ringel duality to standardly stratified algebras…
Contents: On Stratified Algebras and Lie Superalgebras
1 Introduction
1.1 Stratified algebras
1.2 Lie superalgebras
2 Included papers and description of the results
2.1 Paper I
2.2 Paper II
2.3 Paper III
Acknowledgments
Bibliography
On Stratified Algebras and Lie Superalgebras
Source: Uppsala University Library
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