A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918372511318016 |
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| author | Burmester, Annika Yaddaden, Khalef |
| author_facet | Burmester, Annika Yaddaden, Khalef |
| contents | The linearized double shuffle Lie algebra introduced by Brown reflects the depth-graded structure of multiple zeta values. In a previous paper, the first author introduced an extension of this Lie algebra that accommodates multiple q-zeta values and multiple Eisenstein series. Inspired by the stabilizer interpretation of the double shuffle Lie algebra given by Enriquez and Furusho, we provide in this paper a stabilizer interpretation of both Lie algebras and show that the stabilizers preserve the extension from the first linearized Lie algebra to the second one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra Burmester, Annika Yaddaden, Khalef Number Theory Quantum Algebra Rings and Algebras 11M32, 05A30, 17B70 The linearized double shuffle Lie algebra introduced by Brown reflects the depth-graded structure of multiple zeta values. In a previous paper, the first author introduced an extension of this Lie algebra that accommodates multiple q-zeta values and multiple Eisenstein series. Inspired by the stabilizer interpretation of the double shuffle Lie algebra given by Enriquez and Furusho, we provide in this paper a stabilizer interpretation of both Lie algebras and show that the stabilizers preserve the extension from the first linearized Lie algebra to the second one. |
| title | A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra |
| topic | Number Theory Quantum Algebra Rings and Algebras 11M32, 05A30, 17B70 |
| url | https://arxiv.org/abs/2603.05038 |