Том 71
№ 6

All Issues

Fima P.

Articles: 1
Article (English)

A locally compact quantum group of triangular matrices

Fima P., Vainerman L. I.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 4. - pp. 564–576

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 complete description of the dual C*-algebra and the dual comultiplication.