Work

Braid symmetries on bosonic extensions

Year: 2024

Type: preprint

Abstract: We introduce a family of automorphisms on the bosonic extension of arbitrary type and show that they satisfy the braid relations. They preserve the global basis and the crystal basis. Using this braid group action, we define a subalgebra for each positive braid word, which possesses the PBW type basis. As an application, we show that the tensor product decomposition of the positive bosonic extionsion,

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2408.07312

Authors: Kashiwara, Masaki, Kim, Myungho, Oh, Se-jin, Park, Euiyong

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4402427684

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