On good Z-gradings of basic Lie superalgebras
Crystal Hoyt
TL;DR
This paper classifies good Z-gradings of basic Lie superalgebras, which are important for constructing W-algebras, thereby advancing understanding in algebraic structures related to mathematical physics.
Contribution
It provides a classification of good Z-gradings for basic Lie superalgebras, a problem linked to the construction of W-algebras, offering new insights into their structure.
Findings
Classification of good Z-gradings achieved
Connections established between gradings and W-algebras
Framework for future algebraic structure analysis
Abstract
We discuss the classification of good Z-gradings of basic Lie superalgebras. This problem arose in connection to W-algebras, where good Z-gradings play a role in their construction.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology