Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
On the Killing form of Lie Algebras in Symmetric Ribbon Categories
Інший ID:
2010 Mathematics Subject Classification: 17Bxx; 18D35; 18D10; 18E05
DOI:10.3842/SIGMA.2015.017
DOI:10.3842/SIGMA.2015.017
Посилання:
On the Killing form of Lie Algebras in Symmetric Ribbon Categories / I. Buchberger, J. Fuchs // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 53 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is
available at http://www.emis.de/journals/SIGMA/LieTheory2014.html.
We are most grateful to the referees for their valuable comments on an earlier version of this
note, and in particular for suggesting improvements of the proof of Proposition 3.12. We also thank Christoph Schweigert for discussions and Scott Morrison for bringing Example 2.20(iv) to
our attention. JF is supported by VR under project no. 621-2013-4207. JF thanks the ErwinSchr¨odinger-Institute
(ESI) for the hospitality during the programs “Modern Trends in TQFT”
and “Topological Phases of Quantum Matter” while part of this work was pursued.
Дата:
2015
Переглядів:
446
Завантажень:
198
Анотація:
As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.
