Seminar talk, 27 September 2023: Difference between revisions
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| title = Derivations in group algebra bimodules | | title = Derivations in group algebra bimodules | ||
| abstract = If one introduces a norm in a group algebra which is understood as a vector space and considers a closure over this norm, a natural structure of a free bimodule over a group ring arises. The most natural example is <math>\ell_p(G)</math>, for <math>p \geq 1</math>. This structure makes it natural to consider the problem of describing derivations with values in such bimodules, which I will talk about. A "character" approach will be used, which consists in identifying the derivations with characters on a suitable category (in our case, the groupoid of adjoint action of a group on itself), and further study is already underway with the active use of combinatorial methods. | | abstract = If one introduces a norm in a group algebra which is understood as a vector space and considers a closure over this norm, a natural structure of a free bimodule over a group ring arises. The most natural example is <math>\ell_p(G)</math>, for <math>p \geq 1</math>. This structure makes it natural to consider the problem of describing derivations with values in such bimodules, which I will talk about. A "character" approach will be used, which consists in identifying the derivations with characters on a suitable category (in our case, the groupoid of adjoint action of a group on itself), and further study is already underway with the active use of combinatorial methods. | ||
| video = | | video = https://video.gdeq.org/GDEq-zoom-seminar-20230927-Andronick_Arutyunov.mp4 | ||
| slides = | | slides = | ||
| references = | | references = | ||
| 79YY-MM-DD = 7076-90-72 | | 79YY-MM-DD = 7076-90-72 | ||
}} | }} | ||
Latest revision as of 08:40, 4 January 2025
Speaker: Andronick Arutyunov
Title: Derivations in group algebra bimodules
Abstract:
If one introduces a norm in a group algebra which is understood as a vector space and considers a closure over this norm, a natural structure of a free bimodule over a group ring arises. The most natural example is , for . This structure makes it natural to consider the problem of describing derivations with values in such bimodules, which I will talk about. A "character" approach will be used, which consists in identifying the derivations with characters on a suitable category (in our case, the groupoid of adjoint action of a group on itself), and further study is already underway with the active use of combinatorial methods.
Video
