Singular parameters for the Birman-Murakami-Wenzl algebra
Hebing Rui, Mei Si
TL;DR
This paper classifies the singular parameters of the Birman-Murakami-Wenzl algebra over any field and provides a criterion for its Morita equivalence to a direct sum of Hecke algebras, advancing understanding of its algebraic structure.
Contribution
It offers a complete classification of singular parameters and establishes a new criterion for Morita equivalence to Hecke algebra sums.
Findings
Classification of singular parameters over arbitrary fields
Criterion for Morita equivalence to Hecke algebra sums
Enhanced understanding of algebraic structure of BMW algebra
Abstract
In this paper, we classify the singular parameters for the Birman-Murakami-Wenzl algebra over an arbitrary field. Equivalently, we give a criterion for the Birman-Murakami-Wenzl algebra being Morita equivalent to the direct sum of the Hecke algebras associated to certain symmetric groups.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry