On Generalized blob algebras: Vertical idempotent truncations and Gelfand-Tsetlin subalgebras
Diego Lobos Maturana
TL;DR
This paper investigates the structure of Gelfand-Tsetlin subalgebras within generalized blob algebras, providing explicit presentations, bases, and dimension formulas for their idempotent truncations.
Contribution
It offers new explicit descriptions and structural insights into Gelfand-Tsetlin subalgebras of generalized blob algebras, including generators, relations, and bases.
Findings
Optimal presentations of Gelfand-Tsetlin subalgebras
Explicit monomial bases established
Dimension formulas derived
Abstract
We study the structure of the Gelfand-Tsetlin subalgebras of a family of idempotent truncations of the generalized blob algebras. We obtain optimal presentations in terms of generators and relations, monomial basis and dimension formula.
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Taxonomy
TopicsAdvanced Algebra and Logic · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology