Tensor categories, algebras, and superalgebras

Abstract: After reviewing the basic definitions of tensor categories and the notion of semisimplification of symmetric tensor categories, it will be shown how the semisimplification of the category of representations of the cyclic group of order 3 over a field of characteristic 3 is naturally equivalent to the category of vector superspaces over this field. This allows to define a superalgebra starting with any algebra endowed with an order 3 automorphism.As a noteworthy example, the exceptional composition superalgebras will be obtained, in a systematic way, from the split octonion algebra, and all the Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3, which are specific of this characteristic, will be obtained from the exceptional simple Lie algebra of type E8.

MathematicsPhysics

Audience: researchers in the topic

Comments: Meeting ID: 925 4420 8640 Passcode: 123089

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Representations of Lie Superalgebras and Related Topics

Series comments: ● Important Dates • Registration Opening: July 26, 2023 (Mordad 04, 1402) • Registration Deadline: August 28, 2023 (Shahrivar 06, 1402)

● Contact: Asghar Daneshvar, * Email: a[dot]daneshvar[at]ipm[dot]ir * If you have any questions or problems related to the conference or the registration form, please contact the email address above.

Plenary Speakers:

• Drazen Adamovic, University of Zagreb, Croatia

• Yuly Billig, University of Carleton, Canada

• Alberto Elduque, University of Zaragoza, Spain

• Dimitar Grantcharov, University of Texas at Arlington, United States of America

• Li Luo, East China Normal University, China

• Volodymyr Mazorchuk, Uppsala university, Sweden

• Jakob Palmkvist, Orebro University, Sweden

• Jinwei Yang, Shanghai Jiaotong University, China

• Kaiming Zhao, Wilfrid Laurier University, Canada

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