مشخصات پژوهش

صفحه نخست /From Quantum Automorphism of ...
عنوان
From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
multiplier Hopf algebras; discrete quantum groups; compact quantum groups; quantum permutation group; quantum isometry group; quadratic algebra
چکیده
This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the signifiance of this abstract construction and the motivation behind its creation. It also concerns quantum linear groups, especially the coordinate ring of Mq (n ) and the observation that KMq (n ) is a quadratic algebra, and can be equipped with a multiplier Hopf ∗-algebra structure in the sense of quantum permutation groups developed by Wang and an observation by Rollier–Vaes. In our next paper, we will propose the study of multiplier Hopf graph algebras. The current paper can be viewed as a precursor to this upcoming work, serving as a crucial intermediary bridging the gap between the abstract concept of multiplier Hopf algebras and the well-developed fild of graph theory, thereby establishing connections between them! This survey review paper is dedicated to the 78th birthday anniversary of Professor Alfons Van Daele.
پژوهشگران فرخ رضوی نیا (نفر اول)، قربانعلی حقیقت دوست بناب (نفر دوم)