A locally compact quantum group of triangular matrices

• Published in: Український математичний журнал
• Date: 2008
• Main Authors: Fima, P., Vainerman, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164494
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A locally compact quantum group of triangular matrices / P. Fima, L. Vainerman // Український математичний журнал. — 2008. — Т. 60, № 4. — С. 564–576. — Бібліогр.: 16 назв. — англ.

We construct a one parameter deformation of the group of 2×2 upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is deformed in a non-trivial way. Also, we give a comple...