27 juin 2022 à 1 juillet 2022
Institut de Mathématiques de Bourgogne (IMB)
Fuseau horaire Europe/Paris

Explicit computations for spin chains and the remarkable operator Co-derivative

29 juin 2022, 10:30
20m
Salle René Baire (4th floor) (Institut de Mathématiques de Bourgogne (IMB))

Salle René Baire (4th floor)

Institut de Mathématiques de Bourgogne (IMB)

Université Bourgogne Franche-Comté Faculté des Sciences Mirande 9 avenue Alain Savary Dijon, France

Orateur

Helal Aldarak (IMB)

Description

In this talk, we are going to show the power of the operator Co-derivative in converting complicated computations into combinatorial relation. To do so, I will consider the twisted spin chain with the underlying Lie algebra gl(n), and show how to obtain the (T,Q) operators using the D-diagrams that arise from using the Co-derivative on the generating series of the characters. Then, we will consider the case when the underlying Lie algebra is so(2n), show how the operator Co-derivative changes in this case and find the (T,Q) operators in the symmetric case.

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