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Infinite Analysis Seminar Tokyo
Seminar information archive ～04/26｜Next seminar｜Future seminars 04/27～
| Date, time & place | Saturday 13:30 - 16:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|
2011/06/02
16:30-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Yoshihisa Saito (Graduate School of Mathematical Sciences, Univ. of Tokyo)
On the module category of $¥overline{U}_q(¥mathfrak{sl}_2)$ (JAPANESE)
Yoshihisa Saito (Graduate School of Mathematical Sciences, Univ. of Tokyo)
On the module category of $¥overline{U}_q(¥mathfrak{sl}_2)$ (JAPANESE)
[ Abstract ]
In the representation theory of quantum groups at roots of unity, it is
often assumed that the parameter $q$ is a primitive $n$-th root of unity
where $n$ is a odd prime number. However, there has recently been
increasing interest in the the cases where $n$ is an even integer ---
for example, in the study of logarithmic conformal field theories, or in
knot invariants. In this talk,
we work out a fairly detailed study on the category of finite
dimensional
modules of the restricted quantum $¥overline{U}_q(¥mathfrak{sl}_2)$
where
$q$ is a $2p$-th root of unity, $p¥ge2$.
In the representation theory of quantum groups at roots of unity, it is
often assumed that the parameter $q$ is a primitive $n$-th root of unity
where $n$ is a odd prime number. However, there has recently been
increasing interest in the the cases where $n$ is an even integer ---
for example, in the study of logarithmic conformal field theories, or in
knot invariants. In this talk,
we work out a fairly detailed study on the category of finite
dimensional
modules of the restricted quantum $¥overline{U}_q(¥mathfrak{sl}_2)$
where
$q$ is a $2p$-th root of unity, $p¥ge2$.
