On pointed Hopf superalgebras
Nicol\'as Andruskiewitsch, Iv\'an Angiono, Hiroyuki Yamane
TL;DR
This paper explores the connection between Hopf superalgebras and Hopf algebras, classifies certain braided vector spaces, and provides defining relations for related Nichols algebras, advancing understanding of superalgebra structures.
Contribution
It introduces a classification of braided vector spaces of super type and details the defining relations of their Nichols algebras, bridging superalgebra and Hopf algebra theory.
Findings
Classification of braided vector spaces of super type
Explicit defining relations for Nichols algebras of super type
Enhanced understanding of Hopf superalgebra structures
Abstract
We discuss the relationship between Hopf superalgebras and Hopf algebras. We list the braided vector spaces of diagonal type with generalized root system of super type and give the defining relations of the corresponding Nichols algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons